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Simplifying 0.05x + 0.10(65 + -1x) = 3.95 0.05x + (65 * 0.10 + -1x * 0.10) = 3.95 0.05x + (6.5 + -0.1x) = 3.95 Reorder the terms: 6.5 + 0.05x + -0.1x = 3.95 Combine like terms: 0.05x + -0.1x = -0.05x 6.5 + -0.05x = 3.95 Solving 6.5 + -0.05x = 3.95 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + -0.05x = 3.95 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -0.05x = 3.95 + -6.5 -0.05x = 3.95 + -6.5 Combine like terms: 3.95 + -6.5 = -2.55 -0.05x = -2.55 Divide each side by '-0.05'. x = 51 Simplifying x = 51
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