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Simplifying -2(2x + 2) + 3(x + -4) = 0 Reorder the terms: -2(2 + 2x) + 3(x + -4) = 0 (2 * -2 + 2x * -2) + 3(x + -4) = 0 (-4 + -4x) + 3(x + -4) = 0 Reorder the terms: -4 + -4x + 3(-4 + x) = 0 -4 + -4x + (-4 * 3 + x * 3) = 0 -4 + -4x + (-12 + 3x) = 0 Reorder the terms: -4 + -12 + -4x + 3x = 0 Combine like terms: -4 + -12 = -16 -16 + -4x + 3x = 0 Combine like terms: -4x + 3x = -1x -16 + -1x = 0 Solving -16 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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