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Simplifying 2(5x + 8) + 5(x + -2) = 3(5x + -1) Reorder the terms: 2(8 + 5x) + 5(x + -2) = 3(5x + -1) (8 * 2 + 5x * 2) + 5(x + -2) = 3(5x + -1) (16 + 10x) + 5(x + -2) = 3(5x + -1) Reorder the terms: 16 + 10x + 5(-2 + x) = 3(5x + -1) 16 + 10x + (-2 * 5 + x * 5) = 3(5x + -1) 16 + 10x + (-10 + 5x) = 3(5x + -1) Reorder the terms: 16 + -10 + 10x + 5x = 3(5x + -1) Combine like terms: 16 + -10 = 6 6 + 10x + 5x = 3(5x + -1) Combine like terms: 10x + 5x = 15x 6 + 15x = 3(5x + -1) Reorder the terms: 6 + 15x = 3(-1 + 5x) 6 + 15x = (-1 * 3 + 5x * 3) 6 + 15x = (-3 + 15x) Add '-15x' to each side of the equation. 6 + 15x + -15x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + 0 = -3 + 15x + -15x 6 = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 6 = -3 + 0 6 = -3 Solving 6 = -3 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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