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Simplifying -13(2x + -4) = 5(4x + -8) Reorder the terms: -13(-4 + 2x) = 5(4x + -8) (-4 * -13 + 2x * -13) = 5(4x + -8) (52 + -26x) = 5(4x + -8) Reorder the terms: 52 + -26x = 5(-8 + 4x) 52 + -26x = (-8 * 5 + 4x * 5) 52 + -26x = (-40 + 20x) Solving 52 + -26x = -40 + 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. 52 + -26x + -20x = -40 + 20x + -20x Combine like terms: -26x + -20x = -46x 52 + -46x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 52 + -46x = -40 + 0 52 + -46x = -40 Add '-52' to each side of the equation. 52 + -52 + -46x = -40 + -52 Combine like terms: 52 + -52 = 0 0 + -46x = -40 + -52 -46x = -40 + -52 Combine like terms: -40 + -52 = -92 -46x = -92 Divide each side by '-46'. x = 2 Simplifying x = 2
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