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Simplifying (2x + 17) = (7x + -13) Reorder the terms: (17 + 2x) = (7x + -13) Remove parenthesis around (17 + 2x) 17 + 2x = (7x + -13) Reorder the terms: 17 + 2x = (-13 + 7x) Remove parenthesis around (-13 + 7x) 17 + 2x = -13 + 7x Solving 17 + 2x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 17 + 2x + -7x = -13 + 7x + -7x Combine like terms: 2x + -7x = -5x 17 + -5x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -5x = -13 + 0 17 + -5x = -13 Add '-17' to each side of the equation. 17 + -17 + -5x = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = -13 + -17 -5x = -13 + -17 Combine like terms: -13 + -17 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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