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Simplifying 0.05x + 10(200 + -1x) = 0.45x 0.05x + (200 * 10 + -1x * 10) = 0.45x 0.05x + (2000 + -10x) = 0.45x Reorder the terms: 2000 + 0.05x + -10x = 0.45x Combine like terms: 0.05x + -10x = -9.95x 2000 + -9.95x = 0.45x Solving 2000 + -9.95x = 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 2000 + -9.95x + -0.45x = 0.45x + -0.45x Combine like terms: -9.95x + -0.45x = -10.4x 2000 + -10.4x = 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 2000 + -10.4x = 0.00 Add '-2000' to each side of the equation. 2000 + -2000 + -10.4x = 0.00 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -10.4x = 0.00 + -2000 -10.4x = 0.00 + -2000 Combine like terms: 0.00 + -2000 = -2000 -10.4x = -2000 Divide each side by '-10.4'. x = 192.3076923 Simplifying x = 192.3076923
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