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Simplifying 0.01 * 90 + 0.10(x) = 0.08(90 + x) Multiply 0.01 * 90 0.9 + 0.10(x) = 0.08(90 + x) 0.9 + 0.10x = (90 * 0.08 + x * 0.08) 0.9 + 0.10x = (7.2 + 0.08x) Solving 0.9 + 0.10x = 7.2 + 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. 0.9 + 0.10x + -0.08x = 7.2 + 0.08x + -0.08x Combine like terms: 0.10x + -0.08x = 0.02x 0.9 + 0.02x = 7.2 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 0.9 + 0.02x = 7.2 + 0.00 0.9 + 0.02x = 7.2 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.02x = 7.2 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.02x = 7.2 + -0.9 0.02x = 7.2 + -0.9 Combine like terms: 7.2 + -0.9 = 6.3 0.02x = 6.3 Divide each side by '0.02'. x = 315 Simplifying x = 315
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