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Simplifying (2x + 5) + -1(x + 3) + (7x + -3) = 17 Reorder the terms: (5 + 2x) + -1(x + 3) + (7x + -3) = 17 Remove parenthesis around (5 + 2x) 5 + 2x + -1(x + 3) + (7x + -3) = 17 Reorder the terms: 5 + 2x + -1(3 + x) + (7x + -3) = 17 5 + 2x + (3 * -1 + x * -1) + (7x + -3) = 17 5 + 2x + (-3 + -1x) + (7x + -3) = 17 Reorder the terms: 5 + 2x + -3 + -1x + (-3 + 7x) = 17 Remove parenthesis around (-3 + 7x) 5 + 2x + -3 + -1x + -3 + 7x = 17 Reorder the terms: 5 + -3 + -3 + 2x + -1x + 7x = 17 Combine like terms: 5 + -3 = 2 2 + -3 + 2x + -1x + 7x = 17 Combine like terms: 2 + -3 = -1 -1 + 2x + -1x + 7x = 17 Combine like terms: 2x + -1x = 1x -1 + 1x + 7x = 17 Combine like terms: 1x + 7x = 8x -1 + 8x = 17 Solving -1 + 8x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 17 + 1 8x = 17 + 1 Combine like terms: 17 + 1 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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