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