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Simplifying 6.6 + 8.5x = x + 33.5 Reorder the terms: 6.6 + 8.5x = 33.5 + x Solving 6.6 + 8.5x = 33.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6.6 + 8.5x + -1x = 33.5 + x + -1x Combine like terms: 8.5x + -1x = 7.5x 6.6 + 7.5x = 33.5 + x + -1x Combine like terms: x + -1x = 0 6.6 + 7.5x = 33.5 + 0 6.6 + 7.5x = 33.5 Add '-6.6' to each side of the equation. 6.6 + -6.6 + 7.5x = 33.5 + -6.6 Combine like terms: 6.6 + -6.6 = 0.0 0.0 + 7.5x = 33.5 + -6.6 7.5x = 33.5 + -6.6 Combine like terms: 33.5 + -6.6 = 26.9 7.5x = 26.9 Divide each side by '7.5'. x = 3.586666667 Simplifying x = 3.586666667
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