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Simplifying -13(x + -6) = -5x + 2(5x + 12) Reorder the terms: -13(-6 + x) = -5x + 2(5x + 12) (-6 * -13 + x * -13) = -5x + 2(5x + 12) (78 + -13x) = -5x + 2(5x + 12) Reorder the terms: 78 + -13x = -5x + 2(12 + 5x) 78 + -13x = -5x + (12 * 2 + 5x * 2) 78 + -13x = -5x + (24 + 10x) Reorder the terms: 78 + -13x = 24 + -5x + 10x Combine like terms: -5x + 10x = 5x 78 + -13x = 24 + 5x Solving 78 + -13x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 78 + -13x + -5x = 24 + 5x + -5x Combine like terms: -13x + -5x = -18x 78 + -18x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 78 + -18x = 24 + 0 78 + -18x = 24 Add '-78' to each side of the equation. 78 + -78 + -18x = 24 + -78 Combine like terms: 78 + -78 = 0 0 + -18x = 24 + -78 -18x = 24 + -78 Combine like terms: 24 + -78 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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