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Simplifying 6(3 + 6x) + 2(5x + -3) = 242 (3 * 6 + 6x * 6) + 2(5x + -3) = 242 (18 + 36x) + 2(5x + -3) = 242 Reorder the terms: 18 + 36x + 2(-3 + 5x) = 242 18 + 36x + (-3 * 2 + 5x * 2) = 242 18 + 36x + (-6 + 10x) = 242 Reorder the terms: 18 + -6 + 36x + 10x = 242 Combine like terms: 18 + -6 = 12 12 + 36x + 10x = 242 Combine like terms: 36x + 10x = 46x 12 + 46x = 242 Solving 12 + 46x = 242 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 46x = 242 + -12 Combine like terms: 12 + -12 = 0 0 + 46x = 242 + -12 46x = 242 + -12 Combine like terms: 242 + -12 = 230 46x = 230 Divide each side by '46'. x = 5 Simplifying x = 5
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