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Simplifying 5(x + -8) = 8(x + -5) Reorder the terms: 5(-8 + x) = 8(x + -5) (-8 * 5 + x * 5) = 8(x + -5) (-40 + 5x) = 8(x + -5) Reorder the terms: -40 + 5x = 8(-5 + x) -40 + 5x = (-5 * 8 + x * 8) -40 + 5x = (-40 + 8x) Add '40' to each side of the equation. -40 + 40 + 5x = -40 + 40 + 8x Combine like terms: -40 + 40 = 0 0 + 5x = -40 + 40 + 8x 5x = -40 + 40 + 8x Combine like terms: -40 + 40 = 0 5x = 0 + 8x 5x = 8x Solving 5x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5x + -8x = 8x + -8x Combine like terms: 5x + -8x = -3x -3x = 8x + -8x Combine like terms: 8x + -8x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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