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Simplifying 2x + -1(x + 5) = 3(x + -1) Reorder the terms: 2x + -1(5 + x) = 3(x + -1) 2x + (5 * -1 + x * -1) = 3(x + -1) 2x + (-5 + -1x) = 3(x + -1) Reorder the terms: -5 + 2x + -1x = 3(x + -1) Combine like terms: 2x + -1x = 1x -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 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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