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Simplifying 4(9 + -1x) + 40(x + -9) = 1 (9 * 4 + -1x * 4) + 40(x + -9) = 1 (36 + -4x) + 40(x + -9) = 1 Reorder the terms: 36 + -4x + 40(-9 + x) = 1 36 + -4x + (-9 * 40 + x * 40) = 1 36 + -4x + (-360 + 40x) = 1 Reorder the terms: 36 + -360 + -4x + 40x = 1 Combine like terms: 36 + -360 = -324 -324 + -4x + 40x = 1 Combine like terms: -4x + 40x = 36x -324 + 36x = 1 Solving -324 + 36x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '324' to each side of the equation. -324 + 324 + 36x = 1 + 324 Combine like terms: -324 + 324 = 0 0 + 36x = 1 + 324 36x = 1 + 324 Combine like terms: 1 + 324 = 325 36x = 325 Divide each side by '36'. x = 9.027777778 Simplifying x = 9.027777778
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