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