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Simplifying 3(5x + 3) = 4(x + 3) + 15 Reorder the terms: 3(3 + 5x) = 4(x + 3) + 15 (3 * 3 + 5x * 3) = 4(x + 3) + 15 (9 + 15x) = 4(x + 3) + 15 Reorder the terms: 9 + 15x = 4(3 + x) + 15 9 + 15x = (3 * 4 + x * 4) + 15 9 + 15x = (12 + 4x) + 15 Reorder the terms: 9 + 15x = 12 + 15 + 4x Combine like terms: 12 + 15 = 27 9 + 15x = 27 + 4x Solving 9 + 15x = 27 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 15x + -4x = 27 + 4x + -4x Combine like terms: 15x + -4x = 11x 9 + 11x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 11x = 27 + 0 9 + 11x = 27 Add '-9' to each side of the equation. 9 + -9 + 11x = 27 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 27 + -9 11x = 27 + -9 Combine like terms: 27 + -9 = 18 11x = 18 Divide each side by '11'. x = 1.636363636 Simplifying x = 1.636363636
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