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