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