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Simplifying -1(x + 5) = 4(-2 + -1x) + 2x Reorder the terms: -1(5 + x) = 4(-2 + -1x) + 2x (5 * -1 + x * -1) = 4(-2 + -1x) + 2x (-5 + -1x) = 4(-2 + -1x) + 2x -5 + -1x = (-2 * 4 + -1x * 4) + 2x -5 + -1x = (-8 + -4x) + 2x Combine like terms: -4x + 2x = -2x -5 + -1x = -8 + -2x Solving -5 + -1x = -8 + -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. -5 + -1x + 2x = -8 + -2x + 2x Combine like terms: -1x + 2x = 1x -5 + 1x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 1x = -8 + 0 -5 + 1x = -8 Add '5' to each side of the equation. -5 + 5 + 1x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -8 + 5 1x = -8 + 5 Combine like terms: -8 + 5 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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