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Simplifying 6x + 2(5x + 12) = 25 + -2(1 + -8x) Reorder the terms: 6x + 2(12 + 5x) = 25 + -2(1 + -8x) 6x + (12 * 2 + 5x * 2) = 25 + -2(1 + -8x) 6x + (24 + 10x) = 25 + -2(1 + -8x) Reorder the terms: 24 + 6x + 10x = 25 + -2(1 + -8x) Combine like terms: 6x + 10x = 16x 24 + 16x = 25 + -2(1 + -8x) 24 + 16x = 25 + (1 * -2 + -8x * -2) 24 + 16x = 25 + (-2 + 16x) Combine like terms: 25 + -2 = 23 24 + 16x = 23 + 16x Add '-16x' to each side of the equation. 24 + 16x + -16x = 23 + 16x + -16x Combine like terms: 16x + -16x = 0 24 + 0 = 23 + 16x + -16x 24 = 23 + 16x + -16x Combine like terms: 16x + -16x = 0 24 = 23 + 0 24 = 23 Solving 24 = 23 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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