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Simplifying (5x + -2) + -1(2x + -5) = 17 + x Reorder the terms: (-2 + 5x) + -1(2x + -5) = 17 + x Remove parenthesis around (-2 + 5x) -2 + 5x + -1(2x + -5) = 17 + x Reorder the terms: -2 + 5x + -1(-5 + 2x) = 17 + x -2 + 5x + (-5 * -1 + 2x * -1) = 17 + x -2 + 5x + (5 + -2x) = 17 + x Reorder the terms: -2 + 5 + 5x + -2x = 17 + x Combine like terms: -2 + 5 = 3 3 + 5x + -2x = 17 + x Combine like terms: 5x + -2x = 3x 3 + 3x = 17 + x Solving 3 + 3x = 17 + 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. 3 + 3x + -1x = 17 + x + -1x Combine like terms: 3x + -1x = 2x 3 + 2x = 17 + x + -1x Combine like terms: x + -1x = 0 3 + 2x = 17 + 0 3 + 2x = 17 Add '-3' to each side of the equation. 3 + -3 + 2x = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 17 + -3 2x = 17 + -3 Combine like terms: 17 + -3 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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