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Simplifying 3(5x + 6) = 42 + 3x Reorder the terms: 3(6 + 5x) = 42 + 3x (6 * 3 + 5x * 3) = 42 + 3x (18 + 15x) = 42 + 3x Solving 18 + 15x = 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. 18 + 15x + -3x = 42 + 3x + -3x Combine like terms: 15x + -3x = 12x 18 + 12x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 12x = 42 + 0 18 + 12x = 42 Add '-18' to each side of the equation. 18 + -18 + 12x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 12x = 42 + -18 12x = 42 + -18 Combine like terms: 42 + -18 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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