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Simplifying 12(12 + -1x) = 10(11 + -1x) (12 * 12 + -1x * 12) = 10(11 + -1x) (144 + -12x) = 10(11 + -1x) 144 + -12x = (11 * 10 + -1x * 10) 144 + -12x = (110 + -10x) Solving 144 + -12x = 110 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 144 + -12x + 10x = 110 + -10x + 10x Combine like terms: -12x + 10x = -2x 144 + -2x = 110 + -10x + 10x Combine like terms: -10x + 10x = 0 144 + -2x = 110 + 0 144 + -2x = 110 Add '-144' to each side of the equation. 144 + -144 + -2x = 110 + -144 Combine like terms: 144 + -144 = 0 0 + -2x = 110 + -144 -2x = 110 + -144 Combine like terms: 110 + -144 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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