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Simplifying 0.06x + 0.08(1400 + -1x) = 100 0.06x + (1400 * 0.08 + -1x * 0.08) = 100 0.06x + (112 + -0.08x) = 100 Reorder the terms: 112 + 0.06x + -0.08x = 100 Combine like terms: 0.06x + -0.08x = -0.02x 112 + -0.02x = 100 Solving 112 + -0.02x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + -0.02x = 100 + -112 Combine like terms: 112 + -112 = 0 0 + -0.02x = 100 + -112 -0.02x = 100 + -112 Combine like terms: 100 + -112 = -12 -0.02x = -12 Divide each side by '-0.02'. x = 600 Simplifying x = 600
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