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Simplifying 0.33x + 9 = 0.66x + 7 Reorder the terms: 9 + 0.33x = 0.66x + 7 Reorder the terms: 9 + 0.33x = 7 + 0.66x Solving 9 + 0.33x = 7 + 0.66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.66x' to each side of the equation. 9 + 0.33x + -0.66x = 7 + 0.66x + -0.66x Combine like terms: 0.33x + -0.66x = -0.33x 9 + -0.33x = 7 + 0.66x + -0.66x Combine like terms: 0.66x + -0.66x = 0.00 9 + -0.33x = 7 + 0.00 9 + -0.33x = 7 Add '-9' to each side of the equation. 9 + -9 + -0.33x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -0.33x = 7 + -9 -0.33x = 7 + -9 Combine like terms: 7 + -9 = -2 -0.33x = -2 Divide each side by '-0.33'. x = 6.060606061 Simplifying x = 6.060606061
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