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Simplifying -2(13 + x) = 5(-4x + 2) (13 * -2 + x * -2) = 5(-4x + 2) (-26 + -2x) = 5(-4x + 2) Reorder the terms: -26 + -2x = 5(2 + -4x) -26 + -2x = (2 * 5 + -4x * 5) -26 + -2x = (10 + -20x) Solving -26 + -2x = 10 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -26 + -2x + 20x = 10 + -20x + 20x Combine like terms: -2x + 20x = 18x -26 + 18x = 10 + -20x + 20x Combine like terms: -20x + 20x = 0 -26 + 18x = 10 + 0 -26 + 18x = 10 Add '26' to each side of the equation. -26 + 26 + 18x = 10 + 26 Combine like terms: -26 + 26 = 0 0 + 18x = 10 + 26 18x = 10 + 26 Combine like terms: 10 + 26 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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