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Simplifying 5x + 8(x + -9) = 5(x + -8) Reorder the terms: 5x + 8(-9 + x) = 5(x + -8) 5x + (-9 * 8 + x * 8) = 5(x + -8) 5x + (-72 + 8x) = 5(x + -8) Reorder the terms: -72 + 5x + 8x = 5(x + -8) Combine like terms: 5x + 8x = 13x -72 + 13x = 5(x + -8) Reorder the terms: -72 + 13x = 5(-8 + x) -72 + 13x = (-8 * 5 + x * 5) -72 + 13x = (-40 + 5x) Solving -72 + 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. -72 + 13x + -5x = -40 + 5x + -5x Combine like terms: 13x + -5x = 8x -72 + 8x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -72 + 8x = -40 + 0 -72 + 8x = -40 Add '72' to each side of the equation. -72 + 72 + 8x = -40 + 72 Combine like terms: -72 + 72 = 0 0 + 8x = -40 + 72 8x = -40 + 72 Combine like terms: -40 + 72 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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