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Simplifying 6x = 2 + 3(x + 1) Reorder the terms: 6x = 2 + 3(1 + x) 6x = 2 + (1 * 3 + x * 3) 6x = 2 + (3 + 3x) Combine like terms: 2 + 3 = 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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