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Simplifying -32 = 3x + 2(x + 4) Reorder the terms: -32 = 3x + 2(4 + x) -32 = 3x + (4 * 2 + x * 2) -32 = 3x + (8 + 2x) Reorder the terms: -32 = 8 + 3x + 2x Combine like terms: 3x + 2x = 5x -32 = 8 + 5x Solving -32 = 8 + 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. -32 + -5x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + -5x = 8 + 0 -32 + -5x = 8 Add '32' to each side of the equation. -32 + 32 + -5x = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = 8 + 32 -5x = 8 + 32 Combine like terms: 8 + 32 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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