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Simplifying 3(3x + 5) = 7(x + 4) + 5 Reorder the terms: 3(5 + 3x) = 7(x + 4) + 5 (5 * 3 + 3x * 3) = 7(x + 4) + 5 (15 + 9x) = 7(x + 4) + 5 Reorder the terms: 15 + 9x = 7(4 + x) + 5 15 + 9x = (4 * 7 + x * 7) + 5 15 + 9x = (28 + 7x) + 5 Reorder the terms: 15 + 9x = 28 + 5 + 7x Combine like terms: 28 + 5 = 33 15 + 9x = 33 + 7x Solving 15 + 9x = 33 + 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 = 33 + 7x + -7x Combine like terms: 9x + -7x = 2x 15 + 2x = 33 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 2x = 33 + 0 15 + 2x = 33 Add '-15' to each side of the equation. 15 + -15 + 2x = 33 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 33 + -15 2x = 33 + -15 Combine like terms: 33 + -15 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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