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Simplifying 2(x + -13) = 5(3 + -4x) Reorder the terms: 2(-13 + x) = 5(3 + -4x) (-13 * 2 + x * 2) = 5(3 + -4x) (-26 + 2x) = 5(3 + -4x) -26 + 2x = (3 * 5 + -4x * 5) -26 + 2x = (15 + -20x) Solving -26 + 2x = 15 + -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 = 15 + -20x + 20x Combine like terms: 2x + 20x = 22x -26 + 22x = 15 + -20x + 20x Combine like terms: -20x + 20x = 0 -26 + 22x = 15 + 0 -26 + 22x = 15 Add '26' to each side of the equation. -26 + 26 + 22x = 15 + 26 Combine like terms: -26 + 26 = 0 0 + 22x = 15 + 26 22x = 15 + 26 Combine like terms: 15 + 26 = 41 22x = 41 Divide each side by '22'. x = 1.863636364 Simplifying x = 1.863636364
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