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Simplifying 3(3x + -5) = 7(x + 2) + 17 Reorder the terms: 3(-5 + 3x) = 7(x + 2) + 17 (-5 * 3 + 3x * 3) = 7(x + 2) + 17 (-15 + 9x) = 7(x + 2) + 17 Reorder the terms: -15 + 9x = 7(2 + x) + 17 -15 + 9x = (2 * 7 + x * 7) + 17 -15 + 9x = (14 + 7x) + 17 Reorder the terms: -15 + 9x = 14 + 17 + 7x Combine like terms: 14 + 17 = 31 -15 + 9x = 31 + 7x Solving -15 + 9x = 31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 9x + -7x = 31 + 7x + -7x Combine like terms: 9x + -7x = 2x -15 + 2x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 2x = 31 + 0 -15 + 2x = 31 Add '15' to each side of the equation. -15 + 15 + 2x = 31 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 31 + 15 2x = 31 + 15 Combine like terms: 31 + 15 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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