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Simplifying 0.06x + 2.7 = 0.08(30 + x) Reorder the terms: 2.7 + 0.06x = 0.08(30 + x) 2.7 + 0.06x = (30 * 0.08 + x * 0.08) 2.7 + 0.06x = (2.4 + 0.08x) Solving 2.7 + 0.06x = 2.4 + 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. 2.7 + 0.06x + -0.08x = 2.4 + 0.08x + -0.08x Combine like terms: 0.06x + -0.08x = -0.02x 2.7 + -0.02x = 2.4 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 2.7 + -0.02x = 2.4 + 0.00 2.7 + -0.02x = 2.4 Add '-2.7' to each side of the equation. 2.7 + -2.7 + -0.02x = 2.4 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + -0.02x = 2.4 + -2.7 -0.02x = 2.4 + -2.7 Combine like terms: 2.4 + -2.7 = -0.3 -0.02x = -0.3 Divide each side by '-0.02'. x = 15 Simplifying x = 15
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