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Simplifying 3(4x + 2) + 6(x + -2) = 0 Reorder the terms: 3(2 + 4x) + 6(x + -2) = 0 (2 * 3 + 4x * 3) + 6(x + -2) = 0 (6 + 12x) + 6(x + -2) = 0 Reorder the terms: 6 + 12x + 6(-2 + x) = 0 6 + 12x + (-2 * 6 + x * 6) = 0 6 + 12x + (-12 + 6x) = 0 Reorder the terms: 6 + -12 + 12x + 6x = 0 Combine like terms: 6 + -12 = -6 -6 + 12x + 6x = 0 Combine like terms: 12x + 6x = 18x -6 + 18x = 0 Solving -6 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 18x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 0 + 6 18x = 0 + 6 Combine like terms: 0 + 6 = 6 18x = 6 Divide each side by '18'. x = 0.3333333333 Simplifying x = 0.3333333333
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