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Simplifying 3(x + -4) + 6(x + -2) = 0 Reorder the terms: 3(-4 + x) + 6(x + -2) = 0 (-4 * 3 + x * 3) + 6(x + -2) = 0 (-12 + 3x) + 6(x + -2) = 0 Reorder the terms: -12 + 3x + 6(-2 + x) = 0 -12 + 3x + (-2 * 6 + x * 6) = 0 -12 + 3x + (-12 + 6x) = 0 Reorder the terms: -12 + -12 + 3x + 6x = 0 Combine like terms: -12 + -12 = -24 -24 + 3x + 6x = 0 Combine like terms: 3x + 6x = 9x -24 + 9x = 0 Solving -24 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 9x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 0 + 24 9x = 0 + 24 Combine like terms: 0 + 24 = 24 9x = 24 Divide each side by '9'. x = 2.666666667 Simplifying x = 2.666666667
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