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Simplifying 15x + 17 = 2(3x + 26) Reorder the terms: 17 + 15x = 2(3x + 26) Reorder the terms: 17 + 15x = 2(26 + 3x) 17 + 15x = (26 * 2 + 3x * 2) 17 + 15x = (52 + 6x) Solving 17 + 15x = 52 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + 15x + -6x = 52 + 6x + -6x Combine like terms: 15x + -6x = 9x 17 + 9x = 52 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + 9x = 52 + 0 17 + 9x = 52 Add '-17' to each side of the equation. 17 + -17 + 9x = 52 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = 52 + -17 9x = 52 + -17 Combine like terms: 52 + -17 = 35 9x = 35 Divide each side by '9'. x = 3.888888889 Simplifying x = 3.888888889
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