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Simplifying -13(-2x + -12) = 6x + 16 Reorder the terms: -13(-12 + -2x) = 6x + 16 (-12 * -13 + -2x * -13) = 6x + 16 (156 + 26x) = 6x + 16 Reorder the terms: 156 + 26x = 16 + 6x Solving 156 + 26x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 156 + 26x + -6x = 16 + 6x + -6x Combine like terms: 26x + -6x = 20x 156 + 20x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 156 + 20x = 16 + 0 156 + 20x = 16 Add '-156' to each side of the equation. 156 + -156 + 20x = 16 + -156 Combine like terms: 156 + -156 = 0 0 + 20x = 16 + -156 20x = 16 + -156 Combine like terms: 16 + -156 = -140 20x = -140 Divide each side by '20'. x = -7 Simplifying x = -7
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