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Simplifying 1(13x + 12) = -16(6 + -1x) Reorder the terms: 1(12 + 13x) = -16(6 + -1x) (12 * 1 + 13x * 1) = -16(6 + -1x) (12 + 13x) = -16(6 + -1x) 12 + 13x = (6 * -16 + -1x * -16) 12 + 13x = (-96 + 16x) Solving 12 + 13x = -96 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12 + 13x + -16x = -96 + 16x + -16x Combine like terms: 13x + -16x = -3x 12 + -3x = -96 + 16x + -16x Combine like terms: 16x + -16x = 0 12 + -3x = -96 + 0 12 + -3x = -96 Add '-12' to each side of the equation. 12 + -12 + -3x = -96 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -96 + -12 -3x = -96 + -12 Combine like terms: -96 + -12 = -108 -3x = -108 Divide each side by '-3'. x = 36 Simplifying x = 36
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