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Simplifying -0.02x + 0.1(x + 400) = 56 Reorder the terms: -0.02x + 0.1(400 + x) = 56 -0.02x + (400 * 0.1 + x * 0.1) = 56 -0.02x + (40 + 0.1x) = 56 Reorder the terms: 40 + -0.02x + 0.1x = 56 Combine like terms: -0.02x + 0.1x = 0.08x 40 + 0.08x = 56 Solving 40 + 0.08x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 0.08x = 56 + -40 Combine like terms: 40 + -40 = 0 0 + 0.08x = 56 + -40 0.08x = 56 + -40 Combine like terms: 56 + -40 = 16 0.08x = 16 Divide each side by '0.08'. x = 200 Simplifying x = 200
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