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Simplifying 0.10x + 0.06(80) = 0.08(x + 40) Multiply 0.06 * 80 0.10x + 4.8 = 0.08(x + 40) Reorder the terms: 4.8 + 0.10x = 0.08(x + 40) Reorder the terms: 4.8 + 0.10x = 0.08(40 + x) 4.8 + 0.10x = (40 * 0.08 + x * 0.08) 4.8 + 0.10x = (3.2 + 0.08x) Solving 4.8 + 0.10x = 3.2 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 4.8 + 0.10x + -0.08x = 3.2 + 0.08x + -0.08x Combine like terms: 0.10x + -0.08x = 0.02x 4.8 + 0.02x = 3.2 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 4.8 + 0.02x = 3.2 + 0.00 4.8 + 0.02x = 3.2 Add '-4.8' to each side of the equation. 4.8 + -4.8 + 0.02x = 3.2 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 0.02x = 3.2 + -4.8 0.02x = 3.2 + -4.8 Combine like terms: 3.2 + -4.8 = -1.6 0.02x = -1.6 Divide each side by '0.02'. x = -80 Simplifying x = -80
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