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Simplifying 6x = 3(x + 1) + 2 Reorder the terms: 6x = 3(1 + x) + 2 6x = (1 * 3 + x * 3) + 2 6x = (3 + 3x) + 2 Reorder the terms: 6x = 3 + 2 + 3x Combine like terms: 3 + 2 = 5 6x = 5 + 3x Solving 6x = 5 + 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. 6x + -3x = 5 + 3x + -3x Combine like terms: 6x + -3x = 3x 3x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 3x = 5 + 0 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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