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Simplifying -1 + (2 + -5x) + -1(1 + -1x) = 4x + -2(x + -3) Remove parenthesis around (2 + -5x) -1 + 2 + -5x + -1(1 + -1x) = 4x + -2(x + -3) -1 + 2 + -5x + (1 * -1 + -1x * -1) = 4x + -2(x + -3) -1 + 2 + -5x + (-1 + 1x) = 4x + -2(x + -3) Reorder the terms: -1 + 2 + -1 + -5x + 1x = 4x + -2(x + -3) Combine like terms: -1 + 2 = 1 1 + -1 + -5x + 1x = 4x + -2(x + -3) Combine like terms: 1 + -1 = 0 0 + -5x + 1x = 4x + -2(x + -3) -5x + 1x = 4x + -2(x + -3) Combine like terms: -5x + 1x = -4x -4x = 4x + -2(x + -3) Reorder the terms: -4x = 4x + -2(-3 + x) -4x = 4x + (-3 * -2 + x * -2) -4x = 4x + (6 + -2x) Reorder the terms: -4x = 6 + 4x + -2x Combine like terms: 4x + -2x = 2x -4x = 6 + 2x Solving -4x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4x + -2x = 6 + 2x + -2x Combine like terms: -4x + -2x = -6x -6x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -6x = 6 + 0 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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