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Simplifying 7x + (3x + -5) + -1(2x + 1) = (5x + -2) + -1(3x + -8) Reorder the terms: 7x + (-5 + 3x) + -1(2x + 1) = (5x + -2) + -1(3x + -8) Remove parenthesis around (-5 + 3x) 7x + -5 + 3x + -1(2x + 1) = (5x + -2) + -1(3x + -8) Reorder the terms: 7x + -5 + 3x + -1(1 + 2x) = (5x + -2) + -1(3x + -8) 7x + -5 + 3x + (1 * -1 + 2x * -1) = (5x + -2) + -1(3x + -8) 7x + -5 + 3x + (-1 + -2x) = (5x + -2) + -1(3x + -8) Reorder the terms: -5 + -1 + 7x + 3x + -2x = (5x + -2) + -1(3x + -8) Combine like terms: -5 + -1 = -6 -6 + 7x + 3x + -2x = (5x + -2) + -1(3x + -8) Combine like terms: 7x + 3x = 10x -6 + 10x + -2x = (5x + -2) + -1(3x + -8) Combine like terms: 10x + -2x = 8x -6 + 8x = (5x + -2) + -1(3x + -8) Reorder the terms: -6 + 8x = (-2 + 5x) + -1(3x + -8) Remove parenthesis around (-2 + 5x) -6 + 8x = -2 + 5x + -1(3x + -8) Reorder the terms: -6 + 8x = -2 + 5x + -1(-8 + 3x) -6 + 8x = -2 + 5x + (-8 * -1 + 3x * -1) -6 + 8x = -2 + 5x + (8 + -3x) Reorder the terms: -6 + 8x = -2 + 8 + 5x + -3x Combine like terms: -2 + 8 = 6 -6 + 8x = 6 + 5x + -3x Combine like terms: 5x + -3x = 2x -6 + 8x = 6 + 2x Solving -6 + 8x = 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. -6 + 8x + -2x = 6 + 2x + -2x Combine like terms: 8x + -2x = 6x -6 + 6x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 6x = 6 + 0 -6 + 6x = 6 Add '6' to each side of the equation. -6 + 6 + 6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 6 + 6 6x = 6 + 6 Combine like terms: 6 + 6 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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