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Simplifying (3x + 5) + (5x + -3) + -1(5x + 6) = 2(x + -7) + -1(x + -5) Reorder the terms: (5 + 3x) + (5x + -3) + -1(5x + 6) = 2(x + -7) + -1(x + -5) Remove parenthesis around (5 + 3x) 5 + 3x + (5x + -3) + -1(5x + 6) = 2(x + -7) + -1(x + -5) Reorder the terms: 5 + 3x + (-3 + 5x) + -1(5x + 6) = 2(x + -7) + -1(x + -5) Remove parenthesis around (-3 + 5x) 5 + 3x + -3 + 5x + -1(5x + 6) = 2(x + -7) + -1(x + -5) Reorder the terms: 5 + 3x + -3 + 5x + -1(6 + 5x) = 2(x + -7) + -1(x + -5) 5 + 3x + -3 + 5x + (6 * -1 + 5x * -1) = 2(x + -7) + -1(x + -5) 5 + 3x + -3 + 5x + (-6 + -5x) = 2(x + -7) + -1(x + -5) Reorder the terms: 5 + -3 + -6 + 3x + 5x + -5x = 2(x + -7) + -1(x + -5) Combine like terms: 5 + -3 = 2 2 + -6 + 3x + 5x + -5x = 2(x + -7) + -1(x + -5) Combine like terms: 2 + -6 = -4 -4 + 3x + 5x + -5x = 2(x + -7) + -1(x + -5) Combine like terms: 3x + 5x = 8x -4 + 8x + -5x = 2(x + -7) + -1(x + -5) Combine like terms: 8x + -5x = 3x -4 + 3x = 2(x + -7) + -1(x + -5) Reorder the terms: -4 + 3x = 2(-7 + x) + -1(x + -5) -4 + 3x = (-7 * 2 + x * 2) + -1(x + -5) -4 + 3x = (-14 + 2x) + -1(x + -5) Reorder the terms: -4 + 3x = -14 + 2x + -1(-5 + x) -4 + 3x = -14 + 2x + (-5 * -1 + x * -1) -4 + 3x = -14 + 2x + (5 + -1x) Reorder the terms: -4 + 3x = -14 + 5 + 2x + -1x Combine like terms: -14 + 5 = -9 -4 + 3x = -9 + 2x + -1x Combine like terms: 2x + -1x = 1x -4 + 3x = -9 + 1x Solving -4 + 3x = -9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 3x + -1x = -9 + 1x + -1x Combine like terms: 3x + -1x = 2x -4 + 2x = -9 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 2x = -9 + 0 -4 + 2x = -9 Add '4' to each side of the equation. -4 + 4 + 2x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -9 + 4 2x = -9 + 4 Combine like terms: -9 + 4 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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