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Simplifying 2(x + 5) = 2(x + 3) + 6 Reorder the terms: 2(5 + x) = 2(x + 3) + 6 (5 * 2 + x * 2) = 2(x + 3) + 6 (10 + 2x) = 2(x + 3) + 6 Reorder the terms: 10 + 2x = 2(3 + x) + 6 10 + 2x = (3 * 2 + x * 2) + 6 10 + 2x = (6 + 2x) + 6 Reorder the terms: 10 + 2x = 6 + 6 + 2x Combine like terms: 6 + 6 = 12 10 + 2x = 12 + 2x Add '-2x' to each side of the equation. 10 + 2x + -2x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 0 = 12 + 2x + -2x 10 = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 10 = 12 + 0 10 = 12 Solving 10 = 12 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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