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Simplifying 4(3 + -1x) + 2(3x + -1) = 0 (3 * 4 + -1x * 4) + 2(3x + -1) = 0 (12 + -4x) + 2(3x + -1) = 0 Reorder the terms: 12 + -4x + 2(-1 + 3x) = 0 12 + -4x + (-1 * 2 + 3x * 2) = 0 12 + -4x + (-2 + 6x) = 0 Reorder the terms: 12 + -2 + -4x + 6x = 0 Combine like terms: 12 + -2 = 10 10 + -4x + 6x = 0 Combine like terms: -4x + 6x = 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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