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Simplifying 8(8 + x) + -3(2x + 5) = 2(x + 29.5) (8 * 8 + x * 8) + -3(2x + 5) = 2(x + 29.5) (64 + 8x) + -3(2x + 5) = 2(x + 29.5) Reorder the terms: 64 + 8x + -3(5 + 2x) = 2(x + 29.5) 64 + 8x + (5 * -3 + 2x * -3) = 2(x + 29.5) 64 + 8x + (-15 + -6x) = 2(x + 29.5) Reorder the terms: 64 + -15 + 8x + -6x = 2(x + 29.5) Combine like terms: 64 + -15 = 49 49 + 8x + -6x = 2(x + 29.5) Combine like terms: 8x + -6x = 2x 49 + 2x = 2(x + 29.5) Reorder the terms: 49 + 2x = 2(29.5 + x) 49 + 2x = (29.5 * 2 + x * 2) 49 + 2x = (59 + 2x) Add '-2x' to each side of the equation. 49 + 2x + -2x = 59 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + 0 = 59 + 2x + -2x 49 = 59 + 2x + -2x Combine like terms: 2x + -2x = 0 49 = 59 + 0 49 = 59 Solving 49 = 59 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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