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Simplifying 0.02(30) + 0.10x = 0.08(30 + x) Multiply 0.02 * 30 0.6 + 0.10x = 0.08(30 + x) 0.6 + 0.10x = (30 * 0.08 + x * 0.08) 0.6 + 0.10x = (2.4 + 0.08x) Solving 0.6 + 0.10x = 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. 0.6 + 0.10x + -0.08x = 2.4 + 0.08x + -0.08x Combine like terms: 0.10x + -0.08x = 0.02x 0.6 + 0.02x = 2.4 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 0.6 + 0.02x = 2.4 + 0.00 0.6 + 0.02x = 2.4 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.02x = 2.4 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.02x = 2.4 + -0.6 0.02x = 2.4 + -0.6 Combine like terms: 2.4 + -0.6 = 1.8 0.02x = 1.8 Divide each side by '0.02'. x = 90 Simplifying x = 90
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