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Simplifying 9(5x + 1) = 5x + -8c Reorder the terms: 9(1 + 5x) = 5x + -8c (1 * 9 + 5x * 9) = 5x + -8c (9 + 45x) = 5x + -8c Reorder the terms: 9 + 45x = -8c + 5x Solving 9 + 45x = -8c + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 45x + -5x = -8c + 5x + -5x Combine like terms: 45x + -5x = 40x 9 + 40x = -8c + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 40x = -8c + 0 9 + 40x = -8c Add '-9' to each side of the equation. 9 + -9 + 40x = -9 + -8c Combine like terms: 9 + -9 = 0 0 + 40x = -9 + -8c 40x = -9 + -8c Divide each side by '40'. x = -0.225 + -0.2c Simplifying x = -0.225 + -0.2c
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