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Simplifying 10x + 17 = 3(3x + 8) Reorder the terms: 17 + 10x = 3(3x + 8) Reorder the terms: 17 + 10x = 3(8 + 3x) 17 + 10x = (8 * 3 + 3x * 3) 17 + 10x = (24 + 9x) Solving 17 + 10x = 24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 17 + 10x + -9x = 24 + 9x + -9x Combine like terms: 10x + -9x = 1x 17 + 1x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + 1x = 24 + 0 17 + 1x = 24 Add '-17' to each side of the equation. 17 + -17 + 1x = 24 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 24 + -17 1x = 24 + -17 Combine like terms: 24 + -17 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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