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Simplifying -12(x + -12) = -9(1 + 7x) Reorder the terms: -12(-12 + x) = -9(1 + 7x) (-12 * -12 + x * -12) = -9(1 + 7x) (144 + -12x) = -9(1 + 7x) 144 + -12x = (1 * -9 + 7x * -9) 144 + -12x = (-9 + -63x) Solving 144 + -12x = -9 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 144 + -12x + 63x = -9 + -63x + 63x Combine like terms: -12x + 63x = 51x 144 + 51x = -9 + -63x + 63x Combine like terms: -63x + 63x = 0 144 + 51x = -9 + 0 144 + 51x = -9 Add '-144' to each side of the equation. 144 + -144 + 51x = -9 + -144 Combine like terms: 144 + -144 = 0 0 + 51x = -9 + -144 51x = -9 + -144 Combine like terms: -9 + -144 = -153 51x = -153 Divide each side by '51'. x = -3 Simplifying x = -3
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