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