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Simplifying (5x + -9) + -1(2x + -7) = x Reorder the terms: (-9 + 5x) + -1(2x + -7) = x Remove parenthesis around (-9 + 5x) -9 + 5x + -1(2x + -7) = x Reorder the terms: -9 + 5x + -1(-7 + 2x) = x -9 + 5x + (-7 * -1 + 2x * -1) = x -9 + 5x + (7 + -2x) = x Reorder the terms: -9 + 7 + 5x + -2x = x Combine like terms: -9 + 7 = -2 -2 + 5x + -2x = x Combine like terms: 5x + -2x = 3x -2 + 3x = x Solving -2 + 3x = x 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. -2 + 3x + -1x = x + -1x Combine like terms: 3x + -1x = 2x -2 + 2x = x + -1x Combine like terms: x + -1x = 0 -2 + 2x = 0 Add '2' to each side of the equation. -2 + 2 + 2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 0 + 2 2x = 0 + 2 Combine like terms: 0 + 2 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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