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Simplifying 3(3x + 4) = 7(x + 5) + -17 Reorder the terms: 3(4 + 3x) = 7(x + 5) + -17 (4 * 3 + 3x * 3) = 7(x + 5) + -17 (12 + 9x) = 7(x + 5) + -17 Reorder the terms: 12 + 9x = 7(5 + x) + -17 12 + 9x = (5 * 7 + x * 7) + -17 12 + 9x = (35 + 7x) + -17 Reorder the terms: 12 + 9x = 35 + -17 + 7x Combine like terms: 35 + -17 = 18 12 + 9x = 18 + 7x Solving 12 + 9x = 18 + 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. 12 + 9x + -7x = 18 + 7x + -7x Combine like terms: 9x + -7x = 2x 12 + 2x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 2x = 18 + 0 12 + 2x = 18 Add '-12' to each side of the equation. 12 + -12 + 2x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 18 + -12 2x = 18 + -12 Combine like terms: 18 + -12 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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