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Simplifying 2(3x + 4) + -2x = 32 Reorder the terms: 2(4 + 3x) + -2x = 32 (4 * 2 + 3x * 2) + -2x = 32 (8 + 6x) + -2x = 32 Combine like terms: 6x + -2x = 4x 8 + 4x = 32 Solving 8 + 4x = 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 + 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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