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1.5\times 1+1.5\times 1+x\times 1.5=\frac{42}{4}
Divide both sides by 4.
1.5\times 1+1.5\times 1+x\times 1.5=\frac{21}{2}
Reduce the fraction \frac{42}{4} to lowest terms by extracting and canceling out 2.
1.5+1.5\times 1+x\times 1.5=\frac{21}{2}
Multiply 1.5 and 1 to get 1.5.
1.5+1.5+x\times 1.5=\frac{21}{2}
Multiply 1.5 and 1 to get 1.5.
3+x\times 1.5=\frac{21}{2}
Add 1.5 and 1.5 to get 3.
x\times 1.5=\frac{21}{2}-3
Subtract 3 from both sides.
x\times 1.5=\frac{21}{2}-\frac{6}{2}
Convert 3 to fraction \frac{6}{2}.
x\times 1.5=\frac{21-6}{2}
Since \frac{21}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.
x\times 1.5=\frac{15}{2}
Subtract 6 from 21 to get 15.
x=\frac{\frac{15}{2}}{1.5}
Divide both sides by 1.5.
x=\frac{15}{2\times 1.5}
Express \frac{\frac{15}{2}}{1.5} as a single fraction.
x=\frac{15}{3}
Multiply 2 and 1.5 to get 3.
x=5
Divide 15 by 3 to get 5.