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Simplifying (5x + 17) + -3 = (10 + -2x) + -3 Reorder the terms: (17 + 5x) + -3 = (10 + -2x) + -3 Remove parenthesis around (17 + 5x) 17 + 5x + -3 = (10 + -2x) + -3 Reorder the terms: 17 + -3 + 5x = (10 + -2x) + -3 Combine like terms: 17 + -3 = 14 14 + 5x = (10 + -2x) + -3 Remove parenthesis around (10 + -2x) 14 + 5x = 10 + -2x + -3 Reorder the terms: 14 + 5x = 10 + -3 + -2x Combine like terms: 10 + -3 = 7 14 + 5x = 7 + -2x Solving 14 + 5x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 14 + 5x + 2x = 7 + -2x + 2x Combine like terms: 5x + 2x = 7x 14 + 7x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 7x = 7 + 0 14 + 7x = 7 Add '-14' to each side of the equation. 14 + -14 + 7x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 7 + -14 7x = 7 + -14 Combine like terms: 7 + -14 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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