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Simplifying 3(2x + -4) + -5(x + -4) = 0 Reorder the terms: 3(-4 + 2x) + -5(x + -4) = 0 (-4 * 3 + 2x * 3) + -5(x + -4) = 0 (-12 + 6x) + -5(x + -4) = 0 Reorder the terms: -12 + 6x + -5(-4 + x) = 0 -12 + 6x + (-4 * -5 + x * -5) = 0 -12 + 6x + (20 + -5x) = 0 Reorder the terms: -12 + 20 + 6x + -5x = 0 Combine like terms: -12 + 20 = 8 8 + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x 8 + 1x = 0 Solving 8 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 0 + -8 1x = 0 + -8 Combine like terms: 0 + -8 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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