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Simplifying (0.06) * x + 0.12(10) = 0.08(x + 10) Multiply 0.12 * 10 0.06x + 1.2 = 0.08(x + 10) Reorder the terms: 1.2 + 0.06x = 0.08(x + 10) Reorder the terms: 1.2 + 0.06x = 0.08(10 + x) 1.2 + 0.06x = (10 * 0.08 + x * 0.08) 1.2 + 0.06x = (0.8 + 0.08x) Solving 1.2 + 0.06x = 0.8 + 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. 1.2 + 0.06x + -0.08x = 0.8 + 0.08x + -0.08x Combine like terms: 0.06x + -0.08x = -0.02x 1.2 + -0.02x = 0.8 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 1.2 + -0.02x = 0.8 + 0.00 1.2 + -0.02x = 0.8 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.02x = 0.8 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.02x = 0.8 + -1.2 -0.02x = 0.8 + -1.2 Combine like terms: 0.8 + -1.2 = -0.4 -0.02x = -0.4 Divide each side by '-0.02'. x = 20 Simplifying x = 20
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