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Simplifying 2(x + -2) = 32 + -2x Reorder the terms: 2(-2 + x) = 32 + -2x (-2 * 2 + x * 2) = 32 + -2x (-4 + 2x) = 32 + -2x Solving -4 + 2x = 32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + 2x + 2x = 32 + -2x + 2x Combine like terms: 2x + 2x = 4x -4 + 4x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 4x = 32 + 0 -4 + 4x = 32 Add '4' to each side of the equation. -4 + 4 + 4x = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 32 + 4 4x = 32 + 4 Combine like terms: 32 + 4 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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