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Simplifying 0.6666666667(x + 9) = 0.4444444444x + 1 Reorder the terms: 0.6666666667(9 + x) = 0.4444444444x + 1 (9 * 0.6666666667 + x * 0.6666666667) = 0.4444444444x + 1 (6 + 0.6666666667x) = 0.4444444444x + 1 Reorder the terms: 6 + 0.6666666667x = 1 + 0.4444444444x Solving 6 + 0.6666666667x = 1 + 0.4444444444x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4444444444x' to each side of the equation. 6 + 0.6666666667x + -0.4444444444x = 1 + 0.4444444444x + -0.4444444444x Combine like terms: 0.6666666667x + -0.4444444444x = 0.2222222223x 6 + 0.2222222223x = 1 + 0.4444444444x + -0.4444444444x Combine like terms: 0.4444444444x + -0.4444444444x = 0.0000000000 6 + 0.2222222223x = 1 + 0.0000000000 6 + 0.2222222223x = 1 Add '-6' to each side of the equation. 6 + -6 + 0.2222222223x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 0.2222222223x = 1 + -6 0.2222222223x = 1 + -6 Combine like terms: 1 + -6 = -5 0.2222222223x = -5 Divide each side by '0.2222222223'. x = -22.49999999 Simplifying x = -22.49999999
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