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Simplifying 3(2x + 3) = 3x + 42 Reorder the terms: 3(3 + 2x) = 3x + 42 (3 * 3 + 2x * 3) = 3x + 42 (9 + 6x) = 3x + 42 Reorder the terms: 9 + 6x = 42 + 3x Solving 9 + 6x = 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. 9 + 6x + -3x = 42 + 3x + -3x Combine like terms: 6x + -3x = 3x 9 + 3x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 3x = 42 + 0 9 + 3x = 42 Add '-9' to each side of the equation. 9 + -9 + 3x = 42 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 42 + -9 3x = 42 + -9 Combine like terms: 42 + -9 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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