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Simplifying 8(x + 2) + -3(2x + 4) = 2(x + 5) Reorder the terms: 8(2 + x) + -3(2x + 4) = 2(x + 5) (2 * 8 + x * 8) + -3(2x + 4) = 2(x + 5) (16 + 8x) + -3(2x + 4) = 2(x + 5) Reorder the terms: 16 + 8x + -3(4 + 2x) = 2(x + 5) 16 + 8x + (4 * -3 + 2x * -3) = 2(x + 5) 16 + 8x + (-12 + -6x) = 2(x + 5) Reorder the terms: 16 + -12 + 8x + -6x = 2(x + 5) Combine like terms: 16 + -12 = 4 4 + 8x + -6x = 2(x + 5) Combine like terms: 8x + -6x = 2x 4 + 2x = 2(x + 5) Reorder the terms: 4 + 2x = 2(5 + x) 4 + 2x = (5 * 2 + x * 2) 4 + 2x = (10 + 2x) Add '-2x' to each side of the equation. 4 + 2x + -2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 0 = 10 + 2x + -2x 4 = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 4 = 10 + 0 4 = 10 Solving 4 = 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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