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Simplifying -4(x + 6) + 32 = 15 + -5x Reorder the terms: -4(6 + x) + 32 = 15 + -5x (6 * -4 + x * -4) + 32 = 15 + -5x (-24 + -4x) + 32 = 15 + -5x Reorder the terms: -24 + 32 + -4x = 15 + -5x Combine like terms: -24 + 32 = 8 8 + -4x = 15 + -5x Solving 8 + -4x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + -4x + 5x = 15 + -5x + 5x Combine like terms: -4x + 5x = 1x 8 + 1x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 1x = 15 + 0 8 + 1x = 15 Add '-8' to each side of the equation. 8 + -8 + 1x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 15 + -8 1x = 15 + -8 Combine like terms: 15 + -8 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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