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