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Simplifying -13(2x + 12) = 24 + -8x Reorder the terms: -13(12 + 2x) = 24 + -8x (12 * -13 + 2x * -13) = 24 + -8x (-156 + -26x) = 24 + -8x Solving -156 + -26x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -156 + -26x + 8x = 24 + -8x + 8x Combine like terms: -26x + 8x = -18x -156 + -18x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -156 + -18x = 24 + 0 -156 + -18x = 24 Add '156' to each side of the equation. -156 + 156 + -18x = 24 + 156 Combine like terms: -156 + 156 = 0 0 + -18x = 24 + 156 -18x = 24 + 156 Combine like terms: 24 + 156 = 180 -18x = 180 Divide each side by '-18'. x = -10 Simplifying x = -10
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