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Simplifying 2(x + 6) + (4x + -2) = 0 Reorder the terms: 2(6 + x) + (4x + -2) = 0 (6 * 2 + x * 2) + (4x + -2) = 0 (12 + 2x) + (4x + -2) = 0 Reorder the terms: 12 + 2x + (-2 + 4x) = 0 Remove parenthesis around (-2 + 4x) 12 + 2x + -2 + 4x = 0 Reorder the terms: 12 + -2 + 2x + 4x = 0 Combine like terms: 12 + -2 = 10 10 + 2x + 4x = 0 Combine like terms: 2x + 4x = 6x 10 + 6x = 0 Solving 10 + 6x = 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 + 6x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 0 + -10 6x = 0 + -10 Combine like terms: 0 + -10 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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