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Simplifying 8(4 + -5x) + -7x + -23 = 32 (4 * 8 + -5x * 8) + -7x + -23 = 32 (32 + -40x) + -7x + -23 = 32 Reorder the terms: 32 + -23 + -40x + -7x = 32 Combine like terms: 32 + -23 = 9 9 + -40x + -7x = 32 Combine like terms: -40x + -7x = -47x 9 + -47x = 32 Solving 9 + -47x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -47x = 32 + -9 Combine like terms: 9 + -9 = 0 0 + -47x = 32 + -9 -47x = 32 + -9 Combine like terms: 32 + -9 = 23 -47x = 23 Divide each side by '-47'. x = -0.4893617021 Simplifying x = -0.4893617021
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