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Simplifying (2x + -8) + -1(3x + -4) = (-4 + x) + -4x + 8 Reorder the terms: (-8 + 2x) + -1(3x + -4) = (-4 + x) + -4x + 8 Remove parenthesis around (-8 + 2x) -8 + 2x + -1(3x + -4) = (-4 + x) + -4x + 8 Reorder the terms: -8 + 2x + -1(-4 + 3x) = (-4 + x) + -4x + 8 -8 + 2x + (-4 * -1 + 3x * -1) = (-4 + x) + -4x + 8 -8 + 2x + (4 + -3x) = (-4 + x) + -4x + 8 Reorder the terms: -8 + 4 + 2x + -3x = (-4 + x) + -4x + 8 Combine like terms: -8 + 4 = -4 -4 + 2x + -3x = (-4 + x) + -4x + 8 Combine like terms: 2x + -3x = -1x -4 + -1x = (-4 + x) + -4x + 8 Remove parenthesis around (-4 + x) -4 + -1x = -4 + x + -4x + 8 Reorder the terms: -4 + -1x = -4 + 8 + x + -4x Combine like terms: -4 + 8 = 4 -4 + -1x = 4 + x + -4x Combine like terms: x + -4x = -3x -4 + -1x = 4 + -3x Solving -4 + -1x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4 + -1x + 3x = 4 + -3x + 3x Combine like terms: -1x + 3x = 2x -4 + 2x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 2x = 4 + 0 -4 + 2x = 4 Add '4' to each side of the equation. -4 + 4 + 2x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 4 + 4 2x = 4 + 4 Combine like terms: 4 + 4 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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