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Simplifying -1(x + 1) = 3(x + 5) Reorder the terms: -1(1 + x) = 3(x + 5) (1 * -1 + x * -1) = 3(x + 5) (-1 + -1x) = 3(x + 5) Reorder the terms: -1 + -1x = 3(5 + x) -1 + -1x = (5 * 3 + x * 3) -1 + -1x = (15 + 3x) Solving -1 + -1x = 15 + 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. -1 + -1x + -3x = 15 + 3x + -3x Combine like terms: -1x + -3x = -4x -1 + -4x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -4x = 15 + 0 -1 + -4x = 15 Add '1' to each side of the equation. -1 + 1 + -4x = 15 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 15 + 1 -4x = 15 + 1 Combine like terms: 15 + 1 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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