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Simplifying 42 = 6 + 2(3x + 6) Reorder the terms: 42 = 6 + 2(6 + 3x) 42 = 6 + (6 * 2 + 3x * 2) 42 = 6 + (12 + 6x) Combine like terms: 6 + 12 = 18 42 = 18 + 6x Solving 42 = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + -6x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + -6x = 18 + 0 42 + -6x = 18 Add '-42' to each side of the equation. 42 + -42 + -6x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = 18 + -42 -6x = 18 + -42 Combine like terms: 18 + -42 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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