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Simplifying 3(x + 4) + 2(x + -1) = 0 Reorder the terms: 3(4 + x) + 2(x + -1) = 0 (4 * 3 + x * 3) + 2(x + -1) = 0 (12 + 3x) + 2(x + -1) = 0 Reorder the terms: 12 + 3x + 2(-1 + x) = 0 12 + 3x + (-1 * 2 + x * 2) = 0 12 + 3x + (-2 + 2x) = 0 Reorder the terms: 12 + -2 + 3x + 2x = 0 Combine like terms: 12 + -2 = 10 10 + 3x + 2x = 0 Combine like terms: 3x + 2x = 5x 10 + 5x = 0 Solving 10 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 0 + -10 5x = 0 + -10 Combine like terms: 0 + -10 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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