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Simplifying -2x + 32 = 2(x + 2) Reorder the terms: 32 + -2x = 2(x + 2) Reorder the terms: 32 + -2x = 2(2 + x) 32 + -2x = (2 * 2 + x * 2) 32 + -2x = (4 + 2x) Solving 32 + -2x = 4 + 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. 32 + -2x + -2x = 4 + 2x + -2x Combine like terms: -2x + -2x = -4x 32 + -4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + -4x = 4 + 0 32 + -4x = 4 Add '-32' to each side of the equation. 32 + -32 + -4x = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 4 + -32 -4x = 4 + -32 Combine like terms: 4 + -32 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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