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Simplifying 4(3x + 1) + -1(2x + -6) = 0 Reorder the terms: 4(1 + 3x) + -1(2x + -6) = 0 (1 * 4 + 3x * 4) + -1(2x + -6) = 0 (4 + 12x) + -1(2x + -6) = 0 Reorder the terms: 4 + 12x + -1(-6 + 2x) = 0 4 + 12x + (-6 * -1 + 2x * -1) = 0 4 + 12x + (6 + -2x) = 0 Reorder the terms: 4 + 6 + 12x + -2x = 0 Combine like terms: 4 + 6 = 10 10 + 12x + -2x = 0 Combine like terms: 12x + -2x = 10x 10 + 10x = 0 Solving 10 + 10x = 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 + 10x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = 0 + -10 10x = 0 + -10 Combine like terms: 0 + -10 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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