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Simplifying 0.04(x) + 0.08(1600 + -1x) = 80 0.04x + (1600 * 0.08 + -1x * 0.08) = 80 0.04x + (128 + -0.08x) = 80 Reorder the terms: 128 + 0.04x + -0.08x = 80 Combine like terms: 0.04x + -0.08x = -0.04x 128 + -0.04x = 80 Solving 128 + -0.04x = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-128' to each side of the equation. 128 + -128 + -0.04x = 80 + -128 Combine like terms: 128 + -128 = 0 0 + -0.04x = 80 + -128 -0.04x = 80 + -128 Combine like terms: 80 + -128 = -48 -0.04x = -48 Divide each side by '-0.04'. x = 1200 Simplifying x = 1200
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