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Simplifying 2(x + 5) = 3(2 + -2x) + 8x Reorder the terms: 2(5 + x) = 3(2 + -2x) + 8x (5 * 2 + x * 2) = 3(2 + -2x) + 8x (10 + 2x) = 3(2 + -2x) + 8x 10 + 2x = (2 * 3 + -2x * 3) + 8x 10 + 2x = (6 + -6x) + 8x Combine like terms: -6x + 8x = 2x 10 + 2x = 6 + 2x Add '-2x' to each side of the equation. 10 + 2x + -2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 0 = 6 + 2x + -2x 10 = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 10 = 6 + 0 10 = 6 Solving 10 = 6 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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