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Simplifying -45(x + 8) = 72(5 + -1x) Reorder the terms: -45(8 + x) = 72(5 + -1x) (8 * -45 + x * -45) = 72(5 + -1x) (-360 + -45x) = 72(5 + -1x) -360 + -45x = (5 * 72 + -1x * 72) -360 + -45x = (360 + -72x) Solving -360 + -45x = 360 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. -360 + -45x + 72x = 360 + -72x + 72x Combine like terms: -45x + 72x = 27x -360 + 27x = 360 + -72x + 72x Combine like terms: -72x + 72x = 0 -360 + 27x = 360 + 0 -360 + 27x = 360 Add '360' to each side of the equation. -360 + 360 + 27x = 360 + 360 Combine like terms: -360 + 360 = 0 0 + 27x = 360 + 360 27x = 360 + 360 Combine like terms: 360 + 360 = 720 27x = 720 Divide each side by '27'. x = 26.66666667 Simplifying x = 26.66666667
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