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Simplifying 2(3x + 1) + -3x + 10 = 42 Reorder the terms: 2(1 + 3x) + -3x + 10 = 42 (1 * 2 + 3x * 2) + -3x + 10 = 42 (2 + 6x) + -3x + 10 = 42 Reorder the terms: 2 + 10 + 6x + -3x = 42 Combine like terms: 2 + 10 = 12 12 + 6x + -3x = 42 Combine like terms: 6x + -3x = 3x 12 + 3x = 42 Solving 12 + 3x = 42 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 + 3x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 42 + -12 3x = 42 + -12 Combine like terms: 42 + -12 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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