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Simplifying 3x + 2(x + 4) + -1(3x + -2) = 0 Reorder the terms: 3x + 2(4 + x) + -1(3x + -2) = 0 3x + (4 * 2 + x * 2) + -1(3x + -2) = 0 3x + (8 + 2x) + -1(3x + -2) = 0 Reorder the terms: 3x + 8 + 2x + -1(-2 + 3x) = 0 3x + 8 + 2x + (-2 * -1 + 3x * -1) = 0 3x + 8 + 2x + (2 + -3x) = 0 Reorder the terms: 8 + 2 + 3x + 2x + -3x = 0 Combine like terms: 8 + 2 = 10 10 + 3x + 2x + -3x = 0 Combine like terms: 3x + 2x = 5x 10 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 10 + 2x = 0 Solving 10 + 2x = 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 + 2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 0 + -10 2x = 0 + -10 Combine like terms: 0 + -10 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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