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Simplifying 3(x + 1) + 3x + 3 = 42 Reorder the terms: 3(1 + x) + 3x + 3 = 42 (1 * 3 + x * 3) + 3x + 3 = 42 (3 + 3x) + 3x + 3 = 42 Reorder the terms: 3 + 3 + 3x + 3x = 42 Combine like terms: 3 + 3 = 6 6 + 3x + 3x = 42 Combine like terms: 3x + 3x = 6x 6 + 6x = 42 Solving 6 + 6x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 42 + -6 6x = 42 + -6 Combine like terms: 42 + -6 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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