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Simplifying -5(-1x + 2) = -1x + 4(x + -5) Reorder the terms: -5(2 + -1x) = -1x + 4(x + -5) (2 * -5 + -1x * -5) = -1x + 4(x + -5) (-10 + 5x) = -1x + 4(x + -5) Reorder the terms: -10 + 5x = -1x + 4(-5 + x) -10 + 5x = -1x + (-5 * 4 + x * 4) -10 + 5x = -1x + (-20 + 4x) Reorder the terms: -10 + 5x = -20 + -1x + 4x Combine like terms: -1x + 4x = 3x -10 + 5x = -20 + 3x Solving -10 + 5x = -20 + 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. -10 + 5x + -3x = -20 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = -20 + 0 -10 + 2x = -20 Add '10' to each side of the equation. -10 + 10 + 2x = -20 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -20 + 10 2x = -20 + 10 Combine like terms: -20 + 10 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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