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