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