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Simplifying 3(2x + -4) + -2(x + -2) = 0 Reorder the terms: 3(-4 + 2x) + -2(x + -2) = 0 (-4 * 3 + 2x * 3) + -2(x + -2) = 0 (-12 + 6x) + -2(x + -2) = 0 Reorder the terms: -12 + 6x + -2(-2 + x) = 0 -12 + 6x + (-2 * -2 + x * -2) = 0 -12 + 6x + (4 + -2x) = 0 Reorder the terms: -12 + 4 + 6x + -2x = 0 Combine like terms: -12 + 4 = -8 -8 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x -8 + 4x = 0 Solving -8 + 4x = 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 + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 0 + 8 4x = 0 + 8 Combine like terms: 0 + 8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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