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Simplifying 3(x + 5) = -2(3x + -6) Reorder the terms: 3(5 + x) = -2(3x + -6) (5 * 3 + x * 3) = -2(3x + -6) (15 + 3x) = -2(3x + -6) Reorder the terms: 15 + 3x = -2(-6 + 3x) 15 + 3x = (-6 * -2 + 3x * -2) 15 + 3x = (12 + -6x) Solving 15 + 3x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 15 + 3x + 6x = 12 + -6x + 6x Combine like terms: 3x + 6x = 9x 15 + 9x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 9x = 12 + 0 15 + 9x = 12 Add '-15' to each side of the equation. 15 + -15 + 9x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 12 + -15 9x = 12 + -15 Combine like terms: 12 + -15 = -3 9x = -3 Divide each side by '9'. x = -0.3333333333 Simplifying x = -0.3333333333
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