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Simplifying 2x + -5 = (x + -1) + -2(7 + -2x) Reorder the terms: -5 + 2x = (x + -1) + -2(7 + -2x) Reorder the terms: -5 + 2x = (-1 + x) + -2(7 + -2x) Remove parenthesis around (-1 + x) -5 + 2x = -1 + x + -2(7 + -2x) -5 + 2x = -1 + x + (7 * -2 + -2x * -2) -5 + 2x = -1 + x + (-14 + 4x) Reorder the terms: -5 + 2x = -1 + -14 + x + 4x Combine like terms: -1 + -14 = -15 -5 + 2x = -15 + x + 4x Combine like terms: x + 4x = 5x -5 + 2x = -15 + 5x Solving -5 + 2x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 2x + -5x = -15 + 5x + -5x Combine like terms: 2x + -5x = -3x -5 + -3x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -3x = -15 + 0 -5 + -3x = -15 Add '5' to each side of the equation. -5 + 5 + -3x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -15 + 5 -3x = -15 + 5 Combine like terms: -15 + 5 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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