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Simplifying x + -2(3x + 7 + -5x) = (x + -1) + -1(2x + -5) Reorder the terms: x + -2(7 + 3x + -5x) = (x + -1) + -1(2x + -5) Combine like terms: 3x + -5x = -2x x + -2(7 + -2x) = (x + -1) + -1(2x + -5) x + (7 * -2 + -2x * -2) = (x + -1) + -1(2x + -5) x + (-14 + 4x) = (x + -1) + -1(2x + -5) Reorder the terms: -14 + x + 4x = (x + -1) + -1(2x + -5) Combine like terms: x + 4x = 5x -14 + 5x = (x + -1) + -1(2x + -5) Reorder the terms: -14 + 5x = (-1 + x) + -1(2x + -5) Remove parenthesis around (-1 + x) -14 + 5x = -1 + x + -1(2x + -5) Reorder the terms: -14 + 5x = -1 + x + -1(-5 + 2x) -14 + 5x = -1 + x + (-5 * -1 + 2x * -1) -14 + 5x = -1 + x + (5 + -2x) Reorder the terms: -14 + 5x = -1 + 5 + x + -2x Combine like terms: -1 + 5 = 4 -14 + 5x = 4 + x + -2x Combine like terms: x + -2x = -1x -14 + 5x = 4 + -1x Solving -14 + 5x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -14 + 5x + x = 4 + -1x + x Combine like terms: 5x + x = 6x -14 + 6x = 4 + -1x + x Combine like terms: -1x + x = 0 -14 + 6x = 4 + 0 -14 + 6x = 4 Add '14' to each side of the equation. -14 + 14 + 6x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 4 + 14 6x = 4 + 14 Combine like terms: 4 + 14 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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