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Simplifying 0.02x + 0.10(400 + -1x) = 0.42x 0.02x + (400 * 0.10 + -1x * 0.10) = 0.42x 0.02x + (40 + -0.1x) = 0.42x Reorder the terms: 40 + 0.02x + -0.1x = 0.42x Combine like terms: 0.02x + -0.1x = -0.08x 40 + -0.08x = 0.42x Solving 40 + -0.08x = 0.42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.42x' to each side of the equation. 40 + -0.08x + -0.42x = 0.42x + -0.42x Combine like terms: -0.08x + -0.42x = -0.5x 40 + -0.5x = 0.42x + -0.42x Combine like terms: 0.42x + -0.42x = 0.00 40 + -0.5x = 0.00 Add '-40' to each side of the equation. 40 + -40 + -0.5x = 0.00 + -40 Combine like terms: 40 + -40 = 0 0 + -0.5x = 0.00 + -40 -0.5x = 0.00 + -40 Combine like terms: 0.00 + -40 = -40 -0.5x = -40 Divide each side by '-0.5'. x = 80 Simplifying x = 80
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