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Simplifying 6x + 17 = 3(24 + -5x) Reorder the terms: 17 + 6x = 3(24 + -5x) 17 + 6x = (24 * 3 + -5x * 3) 17 + 6x = (72 + -15x) Solving 17 + 6x = 72 + -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 + 6x + 15x = 72 + -15x + 15x Combine like terms: 6x + 15x = 21x 17 + 21x = 72 + -15x + 15x Combine like terms: -15x + 15x = 0 17 + 21x = 72 + 0 17 + 21x = 72 Add '-17' to each side of the equation. 17 + -17 + 21x = 72 + -17 Combine like terms: 17 + -17 = 0 0 + 21x = 72 + -17 21x = 72 + -17 Combine like terms: 72 + -17 = 55 21x = 55 Divide each side by '21'. x = 2.619047619 Simplifying x = 2.619047619
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