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Simplifying 0.04(x + 200) = 900x Reorder the terms: 0.04(200 + x) = 900x (200 * 0.04 + x * 0.04) = 900x (8 + 0.04x) = 900x Solving 8 + 0.04x = 900x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-900x' to each side of the equation. 8 + 0.04x + -900x = 900x + -900x Combine like terms: 0.04x + -900x = -899.96x 8 + -899.96x = 900x + -900x Combine like terms: 900x + -900x = 0 8 + -899.96x = 0 Add '-8' to each side of the equation. 8 + -8 + -899.96x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -899.96x = 0 + -8 -899.96x = 0 + -8 Combine like terms: 0 + -8 = -8 -899.96x = -8 Divide each side by '-899.96'. x = 0.008889283968 Simplifying x = 0.008889283968
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