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Simplifying (3 + 2x) * 5 = -3x + 2 Reorder the terms for easier multiplication: 5(3 + 2x) = -3x + 2 (3 * 5 + 2x * 5) = -3x + 2 (15 + 10x) = -3x + 2 Reorder the terms: 15 + 10x = 2 + -3x Solving 15 + 10x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 15 + 10x + 3x = 2 + -3x + 3x Combine like terms: 10x + 3x = 13x 15 + 13x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 13x = 2 + 0 15 + 13x = 2 Add '-15' to each side of the equation. 15 + -15 + 13x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 13x = 2 + -15 13x = 2 + -15 Combine like terms: 2 + -15 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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