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Simplifying 3(x + -2) + -2(3x + 4) = 0 Reorder the terms: 3(-2 + x) + -2(3x + 4) = 0 (-2 * 3 + x * 3) + -2(3x + 4) = 0 (-6 + 3x) + -2(3x + 4) = 0 Reorder the terms: -6 + 3x + -2(4 + 3x) = 0 -6 + 3x + (4 * -2 + 3x * -2) = 0 -6 + 3x + (-8 + -6x) = 0 Reorder the terms: -6 + -8 + 3x + -6x = 0 Combine like terms: -6 + -8 = -14 -14 + 3x + -6x = 0 Combine like terms: 3x + -6x = -3x -14 + -3x = 0 Solving -14 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 0 + 14 -3x = 0 + 14 Combine like terms: 0 + 14 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667
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