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Simplifying 9(4x + 1) = 2x + -9x Reorder the terms: 9(1 + 4x) = 2x + -9x (1 * 9 + 4x * 9) = 2x + -9x (9 + 36x) = 2x + -9x Combine like terms: 2x + -9x = -7x 9 + 36x = -7x Solving 9 + 36x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 9 + 36x + 7x = -7x + 7x Combine like terms: 36x + 7x = 43x 9 + 43x = -7x + 7x Combine like terms: -7x + 7x = 0 9 + 43x = 0 Add '-9' to each side of the equation. 9 + -9 + 43x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 43x = 0 + -9 43x = 0 + -9 Combine like terms: 0 + -9 = -9 43x = -9 Divide each side by '43'. x = -0.2093023256 Simplifying x = -0.2093023256
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