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Simplifying -5(x + 2) = 13 + -1(x + -1) Reorder the terms: -5(2 + x) = 13 + -1(x + -1) (2 * -5 + x * -5) = 13 + -1(x + -1) (-10 + -5x) = 13 + -1(x + -1) Reorder the terms: -10 + -5x = 13 + -1(-1 + x) -10 + -5x = 13 + (-1 * -1 + x * -1) -10 + -5x = 13 + (1 + -1x) Combine like terms: 13 + 1 = 14 -10 + -5x = 14 + -1x Solving -10 + -5x = 14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + -5x + x = 14 + -1x + x Combine like terms: -5x + x = -4x -10 + -4x = 14 + -1x + x Combine like terms: -1x + x = 0 -10 + -4x = 14 + 0 -10 + -4x = 14 Add '10' to each side of the equation. -10 + 10 + -4x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 14 + 10 -4x = 14 + 10 Combine like terms: 14 + 10 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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