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Simplifying 0.04(x + 200) = 900 + 200x Reorder the terms: 0.04(200 + x) = 900 + 200x (200 * 0.04 + x * 0.04) = 900 + 200x (8 + 0.04x) = 900 + 200x Solving 8 + 0.04x = 900 + 200x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200x' to each side of the equation. 8 + 0.04x + -200x = 900 + 200x + -200x Combine like terms: 0.04x + -200x = -199.96x 8 + -199.96x = 900 + 200x + -200x Combine like terms: 200x + -200x = 0 8 + -199.96x = 900 + 0 8 + -199.96x = 900 Add '-8' to each side of the equation. 8 + -8 + -199.96x = 900 + -8 Combine like terms: 8 + -8 = 0 0 + -199.96x = 900 + -8 -199.96x = 900 + -8 Combine like terms: 900 + -8 = 892 -199.96x = 892 Divide each side by '-199.96'. x = -4.460892178 Simplifying x = -4.460892178
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