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Simplifying 8(x + 10) + -3(2x + 5) = 2(x + 36.5) Reorder the terms: 8(10 + x) + -3(2x + 5) = 2(x + 36.5) (10 * 8 + x * 8) + -3(2x + 5) = 2(x + 36.5) (80 + 8x) + -3(2x + 5) = 2(x + 36.5) Reorder the terms: 80 + 8x + -3(5 + 2x) = 2(x + 36.5) 80 + 8x + (5 * -3 + 2x * -3) = 2(x + 36.5) 80 + 8x + (-15 + -6x) = 2(x + 36.5) Reorder the terms: 80 + -15 + 8x + -6x = 2(x + 36.5) Combine like terms: 80 + -15 = 65 65 + 8x + -6x = 2(x + 36.5) Combine like terms: 8x + -6x = 2x 65 + 2x = 2(x + 36.5) Reorder the terms: 65 + 2x = 2(36.5 + x) 65 + 2x = (36.5 * 2 + x * 2) 65 + 2x = (73 + 2x) Add '-2x' to each side of the equation. 65 + 2x + -2x = 73 + 2x + -2x Combine like terms: 2x + -2x = 0 65 + 0 = 73 + 2x + -2x 65 = 73 + 2x + -2x Combine like terms: 2x + -2x = 0 65 = 73 + 0 65 = 73 Solving 65 = 73 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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