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4x+12x+2x-7=10
Combine 5x and -x to get 4x.
16x+2x-7=10
Combine 4x and 12x to get 16x.
18x-7=10
Combine 16x and 2x to get 18x.
18x=10+7
Add 7 to both sides.
18x=17
Add 10 and 7 to get 17.
x=\frac{17}{18}
Divide both sides by 18.