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Simplifying 17 + 2x + -9 = 2x + -3(9 + -5x) Reorder the terms: 17 + -9 + 2x = 2x + -3(9 + -5x) Combine like terms: 17 + -9 = 8 8 + 2x = 2x + -3(9 + -5x) 8 + 2x = 2x + (9 * -3 + -5x * -3) 8 + 2x = 2x + (-27 + 15x) Reorder the terms: 8 + 2x = -27 + 2x + 15x Combine like terms: 2x + 15x = 17x 8 + 2x = -27 + 17x Solving 8 + 2x = -27 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 8 + 2x + -17x = -27 + 17x + -17x Combine like terms: 2x + -17x = -15x 8 + -15x = -27 + 17x + -17x Combine like terms: 17x + -17x = 0 8 + -15x = -27 + 0 8 + -15x = -27 Add '-8' to each side of the equation. 8 + -8 + -15x = -27 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = -27 + -8 -15x = -27 + -8 Combine like terms: -27 + -8 = -35 -15x = -35 Divide each side by '-15'. x = 2.333333333 Simplifying x = 2.333333333
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