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Simplifying 8(10 + 5x) + -3(3 + -4x) = 591 (10 * 8 + 5x * 8) + -3(3 + -4x) = 591 (80 + 40x) + -3(3 + -4x) = 591 80 + 40x + (3 * -3 + -4x * -3) = 591 80 + 40x + (-9 + 12x) = 591 Reorder the terms: 80 + -9 + 40x + 12x = 591 Combine like terms: 80 + -9 = 71 71 + 40x + 12x = 591 Combine like terms: 40x + 12x = 52x 71 + 52x = 591 Solving 71 + 52x = 591 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + -71 + 52x = 591 + -71 Combine like terms: 71 + -71 = 0 0 + 52x = 591 + -71 52x = 591 + -71 Combine like terms: 591 + -71 = 520 52x = 520 Divide each side by '52'. x = 10 Simplifying x = 10
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