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Simplifying -13(-2x + -12) = 6x + 16x Reorder the terms: -13(-12 + -2x) = 6x + 16x (-12 * -13 + -2x * -13) = 6x + 16x (156 + 26x) = 6x + 16x Combine like terms: 6x + 16x = 22x 156 + 26x = 22x Solving 156 + 26x = 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 156 + 26x + -22x = 22x + -22x Combine like terms: 26x + -22x = 4x 156 + 4x = 22x + -22x Combine like terms: 22x + -22x = 0 156 + 4x = 0 Add '-156' to each side of the equation. 156 + -156 + 4x = 0 + -156 Combine like terms: 156 + -156 = 0 0 + 4x = 0 + -156 4x = 0 + -156 Combine like terms: 0 + -156 = -156 4x = -156 Divide each side by '4'. x = -39 Simplifying x = -39
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