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Simplifying 12(x + 13) = 4(x + -12) + 6x Reorder the terms: 12(13 + x) = 4(x + -12) + 6x (13 * 12 + x * 12) = 4(x + -12) + 6x (156 + 12x) = 4(x + -12) + 6x Reorder the terms: 156 + 12x = 4(-12 + x) + 6x 156 + 12x = (-12 * 4 + x * 4) + 6x 156 + 12x = (-48 + 4x) + 6x Combine like terms: 4x + 6x = 10x 156 + 12x = -48 + 10x Solving 156 + 12x = -48 + 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. 156 + 12x + -10x = -48 + 10x + -10x Combine like terms: 12x + -10x = 2x 156 + 2x = -48 + 10x + -10x Combine like terms: 10x + -10x = 0 156 + 2x = -48 + 0 156 + 2x = -48 Add '-156' to each side of the equation. 156 + -156 + 2x = -48 + -156 Combine like terms: 156 + -156 = 0 0 + 2x = -48 + -156 2x = -48 + -156 Combine like terms: -48 + -156 = -204 2x = -204 Divide each side by '2'. x = -102 Simplifying x = -102
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