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Simplifying 0.05(21 + -1x) + 0.1x = 1.65 (21 * 0.05 + -1x * 0.05) + 0.1x = 1.65 (1.05 + -0.05x) + 0.1x = 1.65 Combine like terms: -0.05x + 0.1x = 0.05x 1.05 + 0.05x = 1.65 Solving 1.05 + 0.05x = 1.65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.05' to each side of the equation. 1.05 + -1.05 + 0.05x = 1.65 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + 0.05x = 1.65 + -1.05 0.05x = 1.65 + -1.05 Combine like terms: 1.65 + -1.05 = 0.6 0.05x = 0.6 Divide each side by '0.05'. x = 12 Simplifying x = 12
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