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Simplifying 3(3x + 5) = 42 + 3x Reorder the terms: 3(5 + 3x) = 42 + 3x (5 * 3 + 3x * 3) = 42 + 3x (15 + 9x) = 42 + 3x Solving 15 + 9x = 42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 9x + -3x = 42 + 3x + -3x Combine like terms: 9x + -3x = 6x 15 + 6x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 6x = 42 + 0 15 + 6x = 42 Add '-15' to each side of the equation. 15 + -15 + 6x = 42 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 42 + -15 6x = 42 + -15 Combine like terms: 42 + -15 = 27 6x = 27 Divide each side by '6'. x = 4.5 Simplifying x = 4.5
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