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Simplifying 8(x + 4) + -3(2x + 8) = 2(x + 7) Reorder the terms: 8(4 + x) + -3(2x + 8) = 2(x + 7) (4 * 8 + x * 8) + -3(2x + 8) = 2(x + 7) (32 + 8x) + -3(2x + 8) = 2(x + 7) Reorder the terms: 32 + 8x + -3(8 + 2x) = 2(x + 7) 32 + 8x + (8 * -3 + 2x * -3) = 2(x + 7) 32 + 8x + (-24 + -6x) = 2(x + 7) Reorder the terms: 32 + -24 + 8x + -6x = 2(x + 7) Combine like terms: 32 + -24 = 8 8 + 8x + -6x = 2(x + 7) Combine like terms: 8x + -6x = 2x 8 + 2x = 2(x + 7) Reorder the terms: 8 + 2x = 2(7 + x) 8 + 2x = (7 * 2 + x * 2) 8 + 2x = (14 + 2x) Add '-2x' to each side of the equation. 8 + 2x + -2x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 0 = 14 + 2x + -2x 8 = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 8 = 14 + 0 8 = 14 Solving 8 = 14 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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