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Simplifying -1(3x + -8) + 2 = -5(x + -3) + -1(5 + -4x) Reorder the terms: -1(-8 + 3x) + 2 = -5(x + -3) + -1(5 + -4x) (-8 * -1 + 3x * -1) + 2 = -5(x + -3) + -1(5 + -4x) (8 + -3x) + 2 = -5(x + -3) + -1(5 + -4x) Reorder the terms: 8 + 2 + -3x = -5(x + -3) + -1(5 + -4x) Combine like terms: 8 + 2 = 10 10 + -3x = -5(x + -3) + -1(5 + -4x) Reorder the terms: 10 + -3x = -5(-3 + x) + -1(5 + -4x) 10 + -3x = (-3 * -5 + x * -5) + -1(5 + -4x) 10 + -3x = (15 + -5x) + -1(5 + -4x) 10 + -3x = 15 + -5x + (5 * -1 + -4x * -1) 10 + -3x = 15 + -5x + (-5 + 4x) Reorder the terms: 10 + -3x = 15 + -5 + -5x + 4x Combine like terms: 15 + -5 = 10 10 + -3x = 10 + -5x + 4x Combine like terms: -5x + 4x = -1x 10 + -3x = 10 + -1x Add '-10' to each side of the equation. 10 + -10 + -3x = 10 + -10 + -1x Combine like terms: 10 + -10 = 0 0 + -3x = 10 + -10 + -1x -3x = 10 + -10 + -1x Combine like terms: 10 + -10 = 0 -3x = 0 + -1x -3x = -1x Solving -3x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3x + x = -1x + x Combine like terms: -3x + x = -2x -2x = -1x + x Combine like terms: -1x + x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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