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Simplifying 0.05x + 0.10(x + 9) = 1.65 Reorder the terms: 0.05x + 0.10(9 + x) = 1.65 0.05x + (9 * 0.10 + x * 0.10) = 1.65 0.05x + (0.9 + 0.10x) = 1.65 Reorder the terms: 0.9 + 0.05x + 0.10x = 1.65 Combine like terms: 0.05x + 0.10x = 0.15x 0.9 + 0.15x = 1.65 Solving 0.9 + 0.15x = 1.65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.15x = 1.65 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.15x = 1.65 + -0.9 0.15x = 1.65 + -0.9 Combine like terms: 1.65 + -0.9 = 0.75 0.15x = 0.75 Divide each side by '0.15'. x = 5 Simplifying x = 5
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