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Simplifying 3(x + 3) + 2(x + -2) = 0 Reorder the terms: 3(3 + x) + 2(x + -2) = 0 (3 * 3 + x * 3) + 2(x + -2) = 0 (9 + 3x) + 2(x + -2) = 0 Reorder the terms: 9 + 3x + 2(-2 + x) = 0 9 + 3x + (-2 * 2 + x * 2) = 0 9 + 3x + (-4 + 2x) = 0 Reorder the terms: 9 + -4 + 3x + 2x = 0 Combine like terms: 9 + -4 = 5 5 + 3x + 2x = 0 Combine like terms: 3x + 2x = 5x 5 + 5x = 0 Solving 5 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 0 + -5 5x = 0 + -5 Combine like terms: 0 + -5 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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