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Simplifying 72 = 5(1 + -5x) + -6(8x + 1) 72 = (1 * 5 + -5x * 5) + -6(8x + 1) 72 = (5 + -25x) + -6(8x + 1) Reorder the terms: 72 = 5 + -25x + -6(1 + 8x) 72 = 5 + -25x + (1 * -6 + 8x * -6) 72 = 5 + -25x + (-6 + -48x) Reorder the terms: 72 = 5 + -6 + -25x + -48x Combine like terms: 5 + -6 = -1 72 = -1 + -25x + -48x Combine like terms: -25x + -48x = -73x 72 = -1 + -73x Solving 72 = -1 + -73x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '73x' to each side of the equation. 72 + 73x = -1 + -73x + 73x Combine like terms: -73x + 73x = 0 72 + 73x = -1 + 0 72 + 73x = -1 Add '-72' to each side of the equation. 72 + -72 + 73x = -1 + -72 Combine like terms: 72 + -72 = 0 0 + 73x = -1 + -72 73x = -1 + -72 Combine like terms: -1 + -72 = -73 73x = -73 Divide each side by '73'. x = -1 Simplifying x = -1
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