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Simplifying 8x + -1(3x + 5) + (2x + -7) + -1(5x + -9) = 1 Reorder the terms: 8x + -1(5 + 3x) + (2x + -7) + -1(5x + -9) = 1 8x + (5 * -1 + 3x * -1) + (2x + -7) + -1(5x + -9) = 1 8x + (-5 + -3x) + (2x + -7) + -1(5x + -9) = 1 Reorder the terms: 8x + -5 + -3x + (-7 + 2x) + -1(5x + -9) = 1 Remove parenthesis around (-7 + 2x) 8x + -5 + -3x + -7 + 2x + -1(5x + -9) = 1 Reorder the terms: 8x + -5 + -3x + -7 + 2x + -1(-9 + 5x) = 1 8x + -5 + -3x + -7 + 2x + (-9 * -1 + 5x * -1) = 1 8x + -5 + -3x + -7 + 2x + (9 + -5x) = 1 Reorder the terms: -5 + -7 + 9 + 8x + -3x + 2x + -5x = 1 Combine like terms: -5 + -7 = -12 -12 + 9 + 8x + -3x + 2x + -5x = 1 Combine like terms: -12 + 9 = -3 -3 + 8x + -3x + 2x + -5x = 1 Combine like terms: 8x + -3x = 5x -3 + 5x + 2x + -5x = 1 Combine like terms: 5x + 2x = 7x -3 + 7x + -5x = 1 Combine like terms: 7x + -5x = 2x -3 + 2x = 1 Solving -3 + 2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 1 + 3 2x = 1 + 3 Combine like terms: 1 + 3 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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