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Simplifying 2(x + -1) + -5x = (x + -6) + (2x + 2) Reorder the terms: 2(-1 + x) + -5x = (x + -6) + (2x + 2) (-1 * 2 + x * 2) + -5x = (x + -6) + (2x + 2) (-2 + 2x) + -5x = (x + -6) + (2x + 2) Combine like terms: 2x + -5x = -3x -2 + -3x = (x + -6) + (2x + 2) Reorder the terms: -2 + -3x = (-6 + x) + (2x + 2) Remove parenthesis around (-6 + x) -2 + -3x = -6 + x + (2x + 2) Reorder the terms: -2 + -3x = -6 + x + (2 + 2x) Remove parenthesis around (2 + 2x) -2 + -3x = -6 + x + 2 + 2x Reorder the terms: -2 + -3x = -6 + 2 + x + 2x Combine like terms: -6 + 2 = -4 -2 + -3x = -4 + x + 2x Combine like terms: x + 2x = 3x -2 + -3x = -4 + 3x Solving -2 + -3x = -4 + 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. -2 + -3x + -3x = -4 + 3x + -3x Combine like terms: -3x + -3x = -6x -2 + -6x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -6x = -4 + 0 -2 + -6x = -4 Add '2' to each side of the equation. -2 + 2 + -6x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -4 + 2 -6x = -4 + 2 Combine like terms: -4 + 2 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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