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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 = 6x -52 + 6x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 -52 + 6x = -40 + 0 -52 + 6x = -40 Add '52' to each side of the equation. -52 + 52 + 6x = -40 + 52 Combine like terms: -52 + 52 = 0 0 + 6x = -40 + 52 6x = -40 + 52 Combine like terms: -40 + 52 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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