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Simplifying -4(5x + -2) + -1x = -2(x + -4) Reorder the terms: -4(-2 + 5x) + -1x = -2(x + -4) (-2 * -4 + 5x * -4) + -1x = -2(x + -4) (8 + -20x) + -1x = -2(x + -4) Combine like terms: -20x + -1x = -21x 8 + -21x = -2(x + -4) Reorder the terms: 8 + -21x = -2(-4 + x) 8 + -21x = (-4 * -2 + x * -2) 8 + -21x = (8 + -2x) Add '-8' to each side of the equation. 8 + -8 + -21x = 8 + -8 + -2x Combine like terms: 8 + -8 = 0 0 + -21x = 8 + -8 + -2x -21x = 8 + -8 + -2x Combine like terms: 8 + -8 = 0 -21x = 0 + -2x -21x = -2x Solving -21x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -21x + 2x = -2x + 2x Combine like terms: -21x + 2x = -19x -19x = -2x + 2x Combine like terms: -2x + 2x = 0 -19x = 0 Divide each side by '-19'. x = 0 Simplifying x = 0
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