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Simplifying 2(3x + 4) = x + -32 Reorder the terms: 2(4 + 3x) = x + -32 (4 * 2 + 3x * 2) = x + -32 (8 + 6x) = x + -32 Reorder the terms: 8 + 6x = -32 + x Solving 8 + 6x = -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. 8 + 6x + -1x = -32 + x + -1x Combine like terms: 6x + -1x = 5x 8 + 5x = -32 + x + -1x Combine like terms: x + -1x = 0 8 + 5x = -32 + 0 8 + 5x = -32 Add '-8' to each side of the equation. 8 + -8 + 5x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -32 + -8 5x = -32 + -8 Combine like terms: -32 + -8 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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