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Simplifying 9x + 17 = 7x + (4x + -5) Reorder the terms: 17 + 9x = 7x + (4x + -5) Reorder the terms: 17 + 9x = 7x + (-5 + 4x) Remove parenthesis around (-5 + 4x) 17 + 9x = 7x + -5 + 4x Reorder the terms: 17 + 9x = -5 + 7x + 4x Combine like terms: 7x + 4x = 11x 17 + 9x = -5 + 11x Solving 17 + 9x = -5 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 17 + 9x + -11x = -5 + 11x + -11x Combine like terms: 9x + -11x = -2x 17 + -2x = -5 + 11x + -11x Combine like terms: 11x + -11x = 0 17 + -2x = -5 + 0 17 + -2x = -5 Add '-17' to each side of the equation. 17 + -17 + -2x = -5 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -5 + -17 -2x = -5 + -17 Combine like terms: -5 + -17 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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