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Simplifying 6(x + 1) = 2(5 + 3) Reorder the terms: 6(1 + x) = 2(5 + 3) (1 * 6 + x * 6) = 2(5 + 3) (6 + 6x) = 2(5 + 3) Combine like terms: 5 + 3 = 8 6 + 6x = 2(8) Multiply 2 * 8 6 + 6x = 16 Solving 6 + 6x = 16 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 = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 16 + -6 6x = 16 + -6 Combine like terms: 16 + -6 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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