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Simplifying 0.10x + 0.02(100) = 0.08(x + 100) Multiply 0.02 * 100 0.10x + 2 = 0.08(x + 100) Reorder the terms: 2 + 0.10x = 0.08(x + 100) Reorder the terms: 2 + 0.10x = 0.08(100 + x) 2 + 0.10x = (100 * 0.08 + x * 0.08) 2 + 0.10x = (8 + 0.08x) Solving 2 + 0.10x = 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. 2 + 0.10x + -0.08x = 8 + 0.08x + -0.08x Combine like terms: 0.10x + -0.08x = 0.02x 2 + 0.02x = 8 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 2 + 0.02x = 8 + 0.00 2 + 0.02x = 8 Add '-2' to each side of the equation. 2 + -2 + 0.02x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 0.02x = 8 + -2 0.02x = 8 + -2 Combine like terms: 8 + -2 = 6 0.02x = 6 Divide each side by '0.02'. x = 300 Simplifying x = 300
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