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Simplifying 7 + -0.04[6x + -1(2 + -0.01x)] = -43.404 7 + -0.04[6x + (2 * -1 + -0.01x * -1)] = -43.404 7 + -0.04[6x + (-2 + 0.01x)] = -43.404 Reorder the terms: 7 + -0.04[-2 + 6x + 0.01x] = -43.404 Combine like terms: 6x + 0.01x = 6.01x 7 + -0.04[-2 + 6.01x] = -43.404 7 + [-2 * -0.04 + 6.01x * -0.04] = -43.404 7 + [0.08 + -0.2404x] = -43.404 Combine like terms: 7 + 0.08 = 7.08 7.08 + -0.2404x = -43.404 Solving 7.08 + -0.2404x = -43.404 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.08' to each side of the equation. 7.08 + -7.08 + -0.2404x = -43.404 + -7.08 Combine like terms: 7.08 + -7.08 = 0.00 0.00 + -0.2404x = -43.404 + -7.08 -0.2404x = -43.404 + -7.08 Combine like terms: -43.404 + -7.08 = -50.484 -0.2404x = -50.484 Divide each side by '-0.2404'. x = 210 Simplifying x = 210
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