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Simplifying 3(3x + 5) = 5(x + 3) + 6 Reorder the terms: 3(5 + 3x) = 5(x + 3) + 6 (5 * 3 + 3x * 3) = 5(x + 3) + 6 (15 + 9x) = 5(x + 3) + 6 Reorder the terms: 15 + 9x = 5(3 + x) + 6 15 + 9x = (3 * 5 + x * 5) + 6 15 + 9x = (15 + 5x) + 6 Reorder the terms: 15 + 9x = 15 + 6 + 5x Combine like terms: 15 + 6 = 21 15 + 9x = 21 + 5x Solving 15 + 9x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + 9x + -5x = 21 + 5x + -5x Combine like terms: 9x + -5x = 4x 15 + 4x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 4x = 21 + 0 15 + 4x = 21 Add '-15' to each side of the equation. 15 + -15 + 4x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 21 + -15 4x = 21 + -15 Combine like terms: 21 + -15 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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