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Simplifying 0.05(61000 + x) = 0.08(61000) + 0.04x (61000 * 0.05 + x * 0.05) = 0.08(61000) + 0.04x (3050 + 0.05x) = 0.08(61000) + 0.04x Multiply 0.08 * 61000 3050 + 0.05x = 4880 + 0.04x Solving 3050 + 0.05x = 4880 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. 3050 + 0.05x + -0.04x = 4880 + 0.04x + -0.04x Combine like terms: 0.05x + -0.04x = 0.01x 3050 + 0.01x = 4880 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 3050 + 0.01x = 4880 + 0.00 3050 + 0.01x = 4880 Add '-3050' to each side of the equation. 3050 + -3050 + 0.01x = 4880 + -3050 Combine like terms: 3050 + -3050 = 0 0 + 0.01x = 4880 + -3050 0.01x = 4880 + -3050 Combine like terms: 4880 + -3050 = 1830 0.01x = 1830 Divide each side by '0.01'. x = 183000 Simplifying x = 183000
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