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Simplifying 5(x + 4) + -8 = x + -32 Reorder the terms: 5(4 + x) + -8 = x + -32 (4 * 5 + x * 5) + -8 = x + -32 (20 + 5x) + -8 = x + -32 Reorder the terms: 20 + -8 + 5x = x + -32 Combine like terms: 20 + -8 = 12 12 + 5x = x + -32 Reorder the terms: 12 + 5x = -32 + x Solving 12 + 5x = -32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 5x + -1x = -32 + x + -1x Combine like terms: 5x + -1x = 4x 12 + 4x = -32 + x + -1x Combine like terms: x + -1x = 0 12 + 4x = -32 + 0 12 + 4x = -32 Add '-12' to each side of the equation. 12 + -12 + 4x = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -32 + -12 4x = -32 + -12 Combine like terms: -32 + -12 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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