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Simplifying 3(x + 3) = -2(x + 5) Reorder the terms: 3(3 + x) = -2(x + 5) (3 * 3 + x * 3) = -2(x + 5) (9 + 3x) = -2(x + 5) Reorder the terms: 9 + 3x = -2(5 + x) 9 + 3x = (5 * -2 + x * -2) 9 + 3x = (-10 + -2x) Solving 9 + 3x = -10 + -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. 9 + 3x + 2x = -10 + -2x + 2x Combine like terms: 3x + 2x = 5x 9 + 5x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 5x = -10 + 0 9 + 5x = -10 Add '-9' to each side of the equation. 9 + -9 + 5x = -10 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = -10 + -9 5x = -10 + -9 Combine like terms: -10 + -9 = -19 5x = -19 Divide each side by '5'. x = -3.8 Simplifying x = -3.8
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