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Simplifying 2 + -2(3x + -1) + (x + -4) + 2(2x + -4) = 8 Reorder the terms: 2 + -2(-1 + 3x) + (x + -4) + 2(2x + -4) = 8 2 + (-1 * -2 + 3x * -2) + (x + -4) + 2(2x + -4) = 8 2 + (2 + -6x) + (x + -4) + 2(2x + -4) = 8 Reorder the terms: 2 + 2 + -6x + (-4 + x) + 2(2x + -4) = 8 Remove parenthesis around (-4 + x) 2 + 2 + -6x + -4 + x + 2(2x + -4) = 8 Reorder the terms: 2 + 2 + -6x + -4 + x + 2(-4 + 2x) = 8 2 + 2 + -6x + -4 + x + (-4 * 2 + 2x * 2) = 8 2 + 2 + -6x + -4 + x + (-8 + 4x) = 8 Reorder the terms: 2 + 2 + -4 + -8 + -6x + x + 4x = 8 Combine like terms: 2 + 2 = 4 4 + -4 + -8 + -6x + x + 4x = 8 Combine like terms: 4 + -4 = 0 0 + -8 + -6x + x + 4x = 8 -8 + -6x + x + 4x = 8 Combine like terms: -6x + x = -5x -8 + -5x + 4x = 8 Combine like terms: -5x + 4x = -1x -8 + -1x = 8 Solving -8 + -1x = 8 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 + -1x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 8 + 8 -1x = 8 + 8 Combine like terms: 8 + 8 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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