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Simplifying 8(x + 4) + -3(2x + 1) = 2(x + 18.5) Reorder the terms: 8(4 + x) + -3(2x + 1) = 2(x + 18.5) (4 * 8 + x * 8) + -3(2x + 1) = 2(x + 18.5) (32 + 8x) + -3(2x + 1) = 2(x + 18.5) Reorder the terms: 32 + 8x + -3(1 + 2x) = 2(x + 18.5) 32 + 8x + (1 * -3 + 2x * -3) = 2(x + 18.5) 32 + 8x + (-3 + -6x) = 2(x + 18.5) Reorder the terms: 32 + -3 + 8x + -6x = 2(x + 18.5) Combine like terms: 32 + -3 = 29 29 + 8x + -6x = 2(x + 18.5) Combine like terms: 8x + -6x = 2x 29 + 2x = 2(x + 18.5) Reorder the terms: 29 + 2x = 2(18.5 + x) 29 + 2x = (18.5 * 2 + x * 2) 29 + 2x = (37 + 2x) Add '-2x' to each side of the equation. 29 + 2x + -2x = 37 + 2x + -2x Combine like terms: 2x + -2x = 0 29 + 0 = 37 + 2x + -2x 29 = 37 + 2x + -2x Combine like terms: 2x + -2x = 0 29 = 37 + 0 29 = 37 Solving 29 = 37 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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