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Simplifying 0.04x + (1200 + x) * 0.07 = 458 Reorder the terms for easier multiplication: 0.04x + 0.07(1200 + x) = 458 0.04x + (1200 * 0.07 + x * 0.07) = 458 0.04x + (84 + 0.07x) = 458 Reorder the terms: 84 + 0.04x + 0.07x = 458 Combine like terms: 0.04x + 0.07x = 0.11x 84 + 0.11x = 458 Solving 84 + 0.11x = 458 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 0.11x = 458 + -84 Combine like terms: 84 + -84 = 0 0 + 0.11x = 458 + -84 0.11x = 458 + -84 Combine like terms: 458 + -84 = 374 0.11x = 374 Divide each side by '0.11'. x = 3400 Simplifying x = 3400
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