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Simplifying 2(x + 5) + -2 = 32 + -2x Reorder the terms: 2(5 + x) + -2 = 32 + -2x (5 * 2 + x * 2) + -2 = 32 + -2x (10 + 2x) + -2 = 32 + -2x Reorder the terms: 10 + -2 + 2x = 32 + -2x Combine like terms: 10 + -2 = 8 8 + 2x = 32 + -2x Solving 8 + 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. 8 + 2x + 2x = 32 + -2x + 2x Combine like terms: 2x + 2x = 4x 8 + 4x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 4x = 32 + 0 8 + 4x = 32 Add '-8' to each side of the equation. 8 + -8 + 4x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 32 + -8 4x = 32 + -8 Combine like terms: 32 + -8 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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