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Simplifying -3(x + 2) + 4(x + -4) = 0 Reorder the terms: -3(2 + x) + 4(x + -4) = 0 (2 * -3 + x * -3) + 4(x + -4) = 0 (-6 + -3x) + 4(x + -4) = 0 Reorder the terms: -6 + -3x + 4(-4 + x) = 0 -6 + -3x + (-4 * 4 + x * 4) = 0 -6 + -3x + (-16 + 4x) = 0 Reorder the terms: -6 + -16 + -3x + 4x = 0 Combine like terms: -6 + -16 = -22 -22 + -3x + 4x = 0 Combine like terms: -3x + 4x = 1x -22 + 1x = 0 Solving -22 + 1x = 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 + 1x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = 0 + 22 1x = 0 + 22 Combine like terms: 0 + 22 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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