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Simplifying 3(x + -4) + -2(3x + 4) = 0 Reorder the terms: 3(-4 + x) + -2(3x + 4) = 0 (-4 * 3 + x * 3) + -2(3x + 4) = 0 (-12 + 3x) + -2(3x + 4) = 0 Reorder the terms: -12 + 3x + -2(4 + 3x) = 0 -12 + 3x + (4 * -2 + 3x * -2) = 0 -12 + 3x + (-8 + -6x) = 0 Reorder the terms: -12 + -8 + 3x + -6x = 0 Combine like terms: -12 + -8 = -20 -20 + 3x + -6x = 0 Combine like terms: 3x + -6x = -3x -20 + -3x = 0 Solving -20 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 0 + 20 -3x = 0 + 20 Combine like terms: 0 + 20 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667
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