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Simplifying 12(x + -7) + -12(-9x + -7) = 3x + -12x Reorder the terms: 12(-7 + x) + -12(-9x + -7) = 3x + -12x (-7 * 12 + x * 12) + -12(-9x + -7) = 3x + -12x (-84 + 12x) + -12(-9x + -7) = 3x + -12x Reorder the terms: -84 + 12x + -12(-7 + -9x) = 3x + -12x -84 + 12x + (-7 * -12 + -9x * -12) = 3x + -12x -84 + 12x + (84 + 108x) = 3x + -12x Reorder the terms: -84 + 84 + 12x + 108x = 3x + -12x Combine like terms: -84 + 84 = 0 0 + 12x + 108x = 3x + -12x 12x + 108x = 3x + -12x Combine like terms: 12x + 108x = 120x 120x = 3x + -12x Combine like terms: 3x + -12x = -9x 120x = -9x Solving 120x = -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 120x + 9x = -9x + 9x Combine like terms: 120x + 9x = 129x 129x = -9x + 9x Combine like terms: -9x + 9x = 0 129x = 0 Divide each side by '129'. x = 0 Simplifying x = 0
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