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