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Simplifying 3 + 7.5(1 + 9x) = 16.5 3 + (1 * 7.5 + 9x * 7.5) = 16.5 3 + (7.5 + 67.5x) = 16.5 Combine like terms: 3 + 7.5 = 10.5 10.5 + 67.5x = 16.5 Solving 10.5 + 67.5x = 16.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5' to each side of the equation. 10.5 + -10.5 + 67.5x = 16.5 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 67.5x = 16.5 + -10.5 67.5x = 16.5 + -10.5 Combine like terms: 16.5 + -10.5 = 6 67.5x = 6 Divide each side by '67.5'. x = 0.08888888889 Simplifying x = 0.08888888889
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