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Simplifying 8(5x + -9) = 4 + -5(4x + -1) Reorder the terms: 8(-9 + 5x) = 4 + -5(4x + -1) (-9 * 8 + 5x * 8) = 4 + -5(4x + -1) (-72 + 40x) = 4 + -5(4x + -1) Reorder the terms: -72 + 40x = 4 + -5(-1 + 4x) -72 + 40x = 4 + (-1 * -5 + 4x * -5) -72 + 40x = 4 + (5 + -20x) Combine like terms: 4 + 5 = 9 -72 + 40x = 9 + -20x Solving -72 + 40x = 9 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -72 + 40x + 20x = 9 + -20x + 20x Combine like terms: 40x + 20x = 60x -72 + 60x = 9 + -20x + 20x Combine like terms: -20x + 20x = 0 -72 + 60x = 9 + 0 -72 + 60x = 9 Add '72' to each side of the equation. -72 + 72 + 60x = 9 + 72 Combine like terms: -72 + 72 = 0 0 + 60x = 9 + 72 60x = 9 + 72 Combine like terms: 9 + 72 = 81 60x = 81 Divide each side by '60'. x = 1.35 Simplifying x = 1.35
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