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Simplifying (3 + 2x) * 4 = -2x + 2 Reorder the terms for easier multiplication: 4(3 + 2x) = -2x + 2 (3 * 4 + 2x * 4) = -2x + 2 (12 + 8x) = -2x + 2 Reorder the terms: 12 + 8x = 2 + -2x Solving 12 + 8x = 2 + -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. 12 + 8x + 2x = 2 + -2x + 2x Combine like terms: 8x + 2x = 10x 12 + 10x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 10x = 2 + 0 12 + 10x = 2 Add '-12' to each side of the equation. 12 + -12 + 10x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 2 + -12 10x = 2 + -12 Combine like terms: 2 + -12 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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