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Simplifying 6(x + 3) + -1(4x + -2) = 0 Reorder the terms: 6(3 + x) + -1(4x + -2) = 0 (3 * 6 + x * 6) + -1(4x + -2) = 0 (18 + 6x) + -1(4x + -2) = 0 Reorder the terms: 18 + 6x + -1(-2 + 4x) = 0 18 + 6x + (-2 * -1 + 4x * -1) = 0 18 + 6x + (2 + -4x) = 0 Reorder the terms: 18 + 2 + 6x + -4x = 0 Combine like terms: 18 + 2 = 20 20 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 20 + 2x = 0 Solving 20 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 0 + -20 2x = 0 + -20 Combine like terms: 0 + -20 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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