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Simplifying 2x + -1 + -1(x + -1) = x + 4 + -1 + -1(-3x) Reorder the terms: 2x + -1 + -1(-1 + x) = x + 4 + -1 + -1(-3x) 2x + -1 + (-1 * -1 + x * -1) = x + 4 + -1 + -1(-3x) 2x + -1 + (1 + -1x) = x + 4 + -1 + -1(-3x) Reorder the terms: -1 + 1 + 2x + -1x = x + 4 + -1 + -1(-3x) Combine like terms: -1 + 1 = 0 0 + 2x + -1x = x + 4 + -1 + -1(-3x) 2x + -1x = x + 4 + -1 + -1(-3x) Combine like terms: 2x + -1x = 1x 1x = x + 4 + -1 + -1(-3x) Remove parenthesis around (-3x) 1x = x + 4 + -1 + -1 * -3x Multiply -1 * -3 1x = x + 4 + -1 + 3x Reorder the terms: 1x = 4 + -1 + x + 3x Combine like terms: 4 + -1 = 3 1x = 3 + x + 3x Combine like terms: x + 3x = 4x 1x = 3 + 4x Solving 1x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1x + -4x = 3 + 4x + -4x Combine like terms: 1x + -4x = -3x -3x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -3x = 3 + 0 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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