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Simplifying 2x + -1(3x + 4) = (3x + 4) + -1(-8x + -8) Reorder the terms: 2x + -1(4 + 3x) = (3x + 4) + -1(-8x + -8) 2x + (4 * -1 + 3x * -1) = (3x + 4) + -1(-8x + -8) 2x + (-4 + -3x) = (3x + 4) + -1(-8x + -8) Reorder the terms: -4 + 2x + -3x = (3x + 4) + -1(-8x + -8) Combine like terms: 2x + -3x = -1x -4 + -1x = (3x + 4) + -1(-8x + -8) Reorder the terms: -4 + -1x = (4 + 3x) + -1(-8x + -8) Remove parenthesis around (4 + 3x) -4 + -1x = 4 + 3x + -1(-8x + -8) Reorder the terms: -4 + -1x = 4 + 3x + -1(-8 + -8x) -4 + -1x = 4 + 3x + (-8 * -1 + -8x * -1) -4 + -1x = 4 + 3x + (8 + 8x) Reorder the terms: -4 + -1x = 4 + 8 + 3x + 8x Combine like terms: 4 + 8 = 12 -4 + -1x = 12 + 3x + 8x Combine like terms: 3x + 8x = 11x -4 + -1x = 12 + 11x Solving -4 + -1x = 12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -4 + -1x + -11x = 12 + 11x + -11x Combine like terms: -1x + -11x = -12x -4 + -12x = 12 + 11x + -11x Combine like terms: 11x + -11x = 0 -4 + -12x = 12 + 0 -4 + -12x = 12 Add '4' to each side of the equation. -4 + 4 + -12x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = 12 + 4 -12x = 12 + 4 Combine like terms: 12 + 4 = 16 -12x = 16 Divide each side by '-12'. x = -1.333333333 Simplifying x = -1.333333333
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