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Simplifying 17 + 9x = 5(3x + 1) Reorder the terms: 17 + 9x = 5(1 + 3x) 17 + 9x = (1 * 5 + 3x * 5) 17 + 9x = (5 + 15x) Solving 17 + 9x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 17 + 9x + -15x = 5 + 15x + -15x Combine like terms: 9x + -15x = -6x 17 + -6x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 17 + -6x = 5 + 0 17 + -6x = 5 Add '-17' to each side of the equation. 17 + -17 + -6x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = 5 + -17 -6x = 5 + -17 Combine like terms: 5 + -17 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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