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Simplifying 5(x + 3) + -8(x + 3) + x(5 + -2) = 0 Reorder the terms: 5(3 + x) + -8(x + 3) + x(5 + -2) = 0 (3 * 5 + x * 5) + -8(x + 3) + x(5 + -2) = 0 (15 + 5x) + -8(x + 3) + x(5 + -2) = 0 Reorder the terms: 15 + 5x + -8(3 + x) + x(5 + -2) = 0 15 + 5x + (3 * -8 + x * -8) + x(5 + -2) = 0 15 + 5x + (-24 + -8x) + x(5 + -2) = 0 Combine like terms: 5 + -2 = 3 15 + 5x + -24 + -8x + x(3) = 0 Reorder the terms for easier multiplication: 15 + 5x + -24 + -8x + 3x = 0 Reorder the terms: 15 + -24 + 5x + -8x + 3x = 0 Combine like terms: 15 + -24 = -9 -9 + 5x + -8x + 3x = 0 Combine like terms: 5x + -8x = -3x -9 + -3x + 3x = 0 Combine like terms: -3x + 3x = 0 -9 + 0 = 0 -9 = 0 Solving -9 = 0 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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