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Simplifying 0.1(x + 40) + -0.03(x + -10) = 604 Reorder the terms: 0.1(40 + x) + -0.03(x + -10) = 604 (40 * 0.1 + x * 0.1) + -0.03(x + -10) = 604 (4 + 0.1x) + -0.03(x + -10) = 604 Reorder the terms: 4 + 0.1x + -0.03(-10 + x) = 604 4 + 0.1x + (-10 * -0.03 + x * -0.03) = 604 4 + 0.1x + (0.3 + -0.03x) = 604 Reorder the terms: 4 + 0.3 + 0.1x + -0.03x = 604 Combine like terms: 4 + 0.3 = 4.3 4.3 + 0.1x + -0.03x = 604 Combine like terms: 0.1x + -0.03x = 0.07x 4.3 + 0.07x = 604 Solving 4.3 + 0.07x = 604 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.3' to each side of the equation. 4.3 + -4.3 + 0.07x = 604 + -4.3 Combine like terms: 4.3 + -4.3 = 0.0 0.0 + 0.07x = 604 + -4.3 0.07x = 604 + -4.3 Combine like terms: 604 + -4.3 = 599.7 0.07x = 599.7 Divide each side by '0.07'. x = 8567.142857 Simplifying x = 8567.142857
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