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Simplifying 12(x + 8) = 9(-12 + 7x) Reorder the terms: 12(8 + x) = 9(-12 + 7x) (8 * 12 + x * 12) = 9(-12 + 7x) (96 + 12x) = 9(-12 + 7x) 96 + 12x = (-12 * 9 + 7x * 9) 96 + 12x = (-108 + 63x) Solving 96 + 12x = -108 + 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. 96 + 12x + -63x = -108 + 63x + -63x Combine like terms: 12x + -63x = -51x 96 + -51x = -108 + 63x + -63x Combine like terms: 63x + -63x = 0 96 + -51x = -108 + 0 96 + -51x = -108 Add '-96' to each side of the equation. 96 + -96 + -51x = -108 + -96 Combine like terms: 96 + -96 = 0 0 + -51x = -108 + -96 -51x = -108 + -96 Combine like terms: -108 + -96 = -204 -51x = -204 Divide each side by '-51'. x = 4 Simplifying x = 4
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