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Simplifying 8(x + 6) + -3(2x + 9) = 2(x + 13.5) Reorder the terms: 8(6 + x) + -3(2x + 9) = 2(x + 13.5) (6 * 8 + x * 8) + -3(2x + 9) = 2(x + 13.5) (48 + 8x) + -3(2x + 9) = 2(x + 13.5) Reorder the terms: 48 + 8x + -3(9 + 2x) = 2(x + 13.5) 48 + 8x + (9 * -3 + 2x * -3) = 2(x + 13.5) 48 + 8x + (-27 + -6x) = 2(x + 13.5) Reorder the terms: 48 + -27 + 8x + -6x = 2(x + 13.5) Combine like terms: 48 + -27 = 21 21 + 8x + -6x = 2(x + 13.5) Combine like terms: 8x + -6x = 2x 21 + 2x = 2(x + 13.5) Reorder the terms: 21 + 2x = 2(13.5 + x) 21 + 2x = (13.5 * 2 + x * 2) 21 + 2x = (27 + 2x) Add '-2x' to each side of the equation. 21 + 2x + -2x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 0 = 27 + 2x + -2x 21 = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 21 = 27 + 0 21 = 27 Solving 21 = 27 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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