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Simplifying -5x + 8(x + 7) = 32 Reorder the terms: -5x + 8(7 + x) = 32 -5x + (7 * 8 + x * 8) = 32 -5x + (56 + 8x) = 32 Reorder the terms: 56 + -5x + 8x = 32 Combine like terms: -5x + 8x = 3x 56 + 3x = 32 Solving 56 + 3x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 3x = 32 + -56 Combine like terms: 56 + -56 = 0 0 + 3x = 32 + -56 3x = 32 + -56 Combine like terms: 32 + -56 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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