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Simplifying 5(x + 9) = 4(x + -8) + x Reorder the terms: 5(9 + x) = 4(x + -8) + x (9 * 5 + x * 5) = 4(x + -8) + x (45 + 5x) = 4(x + -8) + x Reorder the terms: 45 + 5x = 4(-8 + x) + x 45 + 5x = (-8 * 4 + x * 4) + x 45 + 5x = (-32 + 4x) + x Combine like terms: 4x + x = 5x 45 + 5x = -32 + 5x Add '-5x' to each side of the equation. 45 + 5x + -5x = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + 0 = -32 + 5x + -5x 45 = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 45 = -32 + 0 45 = -32 Solving 45 = -32 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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