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Simplifying 0.1111(x + 9) = 0.037037(3x + 27) Reorder the terms: 0.1111(9 + x) = 0.037037(3x + 27) (9 * 0.1111 + x * 0.1111) = 0.037037(3x + 27) (0.9999 + 0.1111x) = 0.037037(3x + 27) Reorder the terms: 0.9999 + 0.1111x = 0.037037(27 + 3x) 0.9999 + 0.1111x = (27 * 0.037037 + 3x * 0.037037) 0.9999 + 0.1111x = (0.999999 + 0.111111x) Solving 0.9999 + 0.1111x = 0.999999 + 0.111111x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.111111x' to each side of the equation. 0.9999 + 0.1111x + -0.111111x = 0.999999 + 0.111111x + -0.111111x Combine like terms: 0.1111x + -0.111111x = -0.000011x 0.9999 + -0.000011x = 0.999999 + 0.111111x + -0.111111x Combine like terms: 0.111111x + -0.111111x = 0.000000 0.9999 + -0.000011x = 0.999999 + 0.000000 0.9999 + -0.000011x = 0.999999 Add '-0.9999' to each side of the equation. 0.9999 + -0.9999 + -0.000011x = 0.999999 + -0.9999 Combine like terms: 0.9999 + -0.9999 = 0.0000 0.0000 + -0.000011x = 0.999999 + -0.9999 -0.000011x = 0.999999 + -0.9999 Combine like terms: 0.999999 + -0.9999 = 0.000099 -0.000011x = 0.000099 Divide each side by '-0.000011'. x = -9 Simplifying x = -9
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