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Simplifying 5x + 8(x + -8) = 5(x + -8) Reorder the terms: 5x + 8(-8 + x) = 5(x + -8) 5x + (-8 * 8 + x * 8) = 5(x + -8) 5x + (-64 + 8x) = 5(x + -8) Reorder the terms: -64 + 5x + 8x = 5(x + -8) Combine like terms: 5x + 8x = 13x -64 + 13x = 5(x + -8) Reorder the terms: -64 + 13x = 5(-8 + x) -64 + 13x = (-8 * 5 + x * 5) -64 + 13x = (-40 + 5x) Solving -64 + 13x = -40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -64 + 13x + -5x = -40 + 5x + -5x Combine like terms: 13x + -5x = 8x -64 + 8x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -64 + 8x = -40 + 0 -64 + 8x = -40 Add '64' to each side of the equation. -64 + 64 + 8x = -40 + 64 Combine like terms: -64 + 64 = 0 0 + 8x = -40 + 64 8x = -40 + 64 Combine like terms: -40 + 64 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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