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Simplifying 6(x + 1) = x + 5(x + 2) Reorder the terms: 6(1 + x) = x + 5(x + 2) (1 * 6 + x * 6) = x + 5(x + 2) (6 + 6x) = x + 5(x + 2) Reorder the terms: 6 + 6x = x + 5(2 + x) 6 + 6x = x + (2 * 5 + x * 5) 6 + 6x = x + (10 + 5x) Reorder the terms: 6 + 6x = 10 + x + 5x Combine like terms: x + 5x = 6x 6 + 6x = 10 + 6x Add '-6x' to each side of the equation. 6 + 6x + -6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 0 = 10 + 6x + -6x 6 = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 6 = 10 + 0 6 = 10 Solving 6 = 10 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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