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45=x\times 10+x\times 15+x\times 20
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
45=25x+x\times 20
Combine x\times 10 and x\times 15 to get 25x.
45=45x
Combine 25x and x\times 20 to get 45x.
45x=45
Swap sides so that all variable terms are on the left hand side.
x=\frac{45}{45}
Divide both sides by 45.
x=1
Divide 45 by 45 to get 1.