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Simplifying 2(4x + 2) = 5x + -32 Reorder the terms: 2(2 + 4x) = 5x + -32 (2 * 2 + 4x * 2) = 5x + -32 (4 + 8x) = 5x + -32 Reorder the terms: 4 + 8x = -32 + 5x Solving 4 + 8x = -32 + 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. 4 + 8x + -5x = -32 + 5x + -5x Combine like terms: 8x + -5x = 3x 4 + 3x = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 3x = -32 + 0 4 + 3x = -32 Add '-4' to each side of the equation. 4 + -4 + 3x = -32 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -32 + -4 3x = -32 + -4 Combine like terms: -32 + -4 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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