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Simplifying 8(x + 2) + -3(2x + 1) = 2(x + -5) Reorder the terms: 8(2 + x) + -3(2x + 1) = 2(x + -5) (2 * 8 + x * 8) + -3(2x + 1) = 2(x + -5) (16 + 8x) + -3(2x + 1) = 2(x + -5) Reorder the terms: 16 + 8x + -3(1 + 2x) = 2(x + -5) 16 + 8x + (1 * -3 + 2x * -3) = 2(x + -5) 16 + 8x + (-3 + -6x) = 2(x + -5) Reorder the terms: 16 + -3 + 8x + -6x = 2(x + -5) Combine like terms: 16 + -3 = 13 13 + 8x + -6x = 2(x + -5) Combine like terms: 8x + -6x = 2x 13 + 2x = 2(x + -5) Reorder the terms: 13 + 2x = 2(-5 + x) 13 + 2x = (-5 * 2 + x * 2) 13 + 2x = (-10 + 2x) Add '-2x' to each side of the equation. 13 + 2x + -2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 0 = -10 + 2x + -2x 13 = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 13 = -10 + 0 13 = -10 Solving 13 = -10 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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