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Simplifying 2(x + 4) + -7x = -32 Reorder the terms: 2(4 + x) + -7x = -32 (4 * 2 + x * 2) + -7x = -32 (8 + 2x) + -7x = -32 Combine like terms: 2x + -7x = -5x 8 + -5x = -32 Solving 8 + -5x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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