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Simplifying 12(9 + -4x) + -5(3x + 21) = 129 (9 * 12 + -4x * 12) + -5(3x + 21) = 129 (108 + -48x) + -5(3x + 21) = 129 Reorder the terms: 108 + -48x + -5(21 + 3x) = 129 108 + -48x + (21 * -5 + 3x * -5) = 129 108 + -48x + (-105 + -15x) = 129 Reorder the terms: 108 + -105 + -48x + -15x = 129 Combine like terms: 108 + -105 = 3 3 + -48x + -15x = 129 Combine like terms: -48x + -15x = -63x 3 + -63x = 129 Solving 3 + -63x = 129 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -63x = 129 + -3 Combine like terms: 3 + -3 = 0 0 + -63x = 129 + -3 -63x = 129 + -3 Combine like terms: 129 + -3 = 126 -63x = 126 Divide each side by '-63'. x = -2 Simplifying x = -2
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