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Simplifying 3(x + 5) + 2(x + -3) = 0 Reorder the terms: 3(5 + x) + 2(x + -3) = 0 (5 * 3 + x * 3) + 2(x + -3) = 0 (15 + 3x) + 2(x + -3) = 0 Reorder the terms: 15 + 3x + 2(-3 + x) = 0 15 + 3x + (-3 * 2 + x * 2) = 0 15 + 3x + (-6 + 2x) = 0 Reorder the terms: 15 + -6 + 3x + 2x = 0 Combine like terms: 15 + -6 = 9 9 + 3x + 2x = 0 Combine like terms: 3x + 2x = 5x 9 + 5x = 0 Solving 9 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8
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