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