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Simplifying 3(2x + -4) + -2(4x + 5) = 0 Reorder the terms: 3(-4 + 2x) + -2(4x + 5) = 0 (-4 * 3 + 2x * 3) + -2(4x + 5) = 0 (-12 + 6x) + -2(4x + 5) = 0 Reorder the terms: -12 + 6x + -2(5 + 4x) = 0 -12 + 6x + (5 * -2 + 4x * -2) = 0 -12 + 6x + (-10 + -8x) = 0 Reorder the terms: -12 + -10 + 6x + -8x = 0 Combine like terms: -12 + -10 = -22 -22 + 6x + -8x = 0 Combine like terms: 6x + -8x = -2x -22 + -2x = 0 Solving -22 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -2x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -2x = 0 + 22 -2x = 0 + 22 Combine like terms: 0 + 22 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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