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Simplifying 0.004x + 0.07(7000 + -1x) = 420 0.004x + (7000 * 0.07 + -1x * 0.07) = 420 0.004x + (490 + -0.07x) = 420 Reorder the terms: 490 + 0.004x + -0.07x = 420 Combine like terms: 0.004x + -0.07x = -0.066x 490 + -0.066x = 420 Solving 490 + -0.066x = 420 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-490' to each side of the equation. 490 + -490 + -0.066x = 420 + -490 Combine like terms: 490 + -490 = 0 0 + -0.066x = 420 + -490 -0.066x = 420 + -490 Combine like terms: 420 + -490 = -70 -0.066x = -70 Divide each side by '-0.066'. x = 1060.606061 Simplifying x = 1060.606061
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