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Simplifying -4(x + 5) = -2(10 + -4x) Reorder the terms: -4(5 + x) = -2(10 + -4x) (5 * -4 + x * -4) = -2(10 + -4x) (-20 + -4x) = -2(10 + -4x) -20 + -4x = (10 * -2 + -4x * -2) -20 + -4x = (-20 + 8x) Add '20' to each side of the equation. -20 + 20 + -4x = -20 + 20 + 8x Combine like terms: -20 + 20 = 0 0 + -4x = -20 + 20 + 8x -4x = -20 + 20 + 8x Combine like terms: -20 + 20 = 0 -4x = 0 + 8x -4x = 8x Solving -4x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4x + -8x = 8x + -8x Combine like terms: -4x + -8x = -12x -12x = 8x + -8x Combine like terms: 8x + -8x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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