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Simplifying 0.04x + 0.11(x + 4200) = 567 Reorder the terms: 0.04x + 0.11(4200 + x) = 567 0.04x + (4200 * 0.11 + x * 0.11) = 567 0.04x + (462 + 0.11x) = 567 Reorder the terms: 462 + 0.04x + 0.11x = 567 Combine like terms: 0.04x + 0.11x = 0.15x 462 + 0.15x = 567 Solving 462 + 0.15x = 567 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-462' to each side of the equation. 462 + -462 + 0.15x = 567 + -462 Combine like terms: 462 + -462 = 0 0 + 0.15x = 567 + -462 0.15x = 567 + -462 Combine like terms: 567 + -462 = 105 0.15x = 105 Divide each side by '0.15'. x = 700 Simplifying x = 700
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