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Simplifying 3(3x + 5) = 2(1 + -2x) Reorder the terms: 3(5 + 3x) = 2(1 + -2x) (5 * 3 + 3x * 3) = 2(1 + -2x) (15 + 9x) = 2(1 + -2x) 15 + 9x = (1 * 2 + -2x * 2) 15 + 9x = (2 + -4x) Solving 15 + 9x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + 9x + 4x = 2 + -4x + 4x Combine like terms: 9x + 4x = 13x 15 + 13x = 2 + -4x + 4x Combine like terms: -4x + 4x = 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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