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Simplifying 0.90x + 0.03(90) = 0.08(x + 90) Multiply 0.03 * 90 0.90x + 2.7 = 0.08(x + 90) Reorder the terms: 2.7 + 0.90x = 0.08(x + 90) Reorder the terms: 2.7 + 0.90x = 0.08(90 + x) 2.7 + 0.90x = (90 * 0.08 + x * 0.08) 2.7 + 0.90x = (7.2 + 0.08x) Solving 2.7 + 0.90x = 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. 2.7 + 0.90x + -0.08x = 7.2 + 0.08x + -0.08x Combine like terms: 0.90x + -0.08x = 0.82x 2.7 + 0.82x = 7.2 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 2.7 + 0.82x = 7.2 + 0.00 2.7 + 0.82x = 7.2 Add '-2.7' to each side of the equation. 2.7 + -2.7 + 0.82x = 7.2 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 0.82x = 7.2 + -2.7 0.82x = 7.2 + -2.7 Combine like terms: 7.2 + -2.7 = 4.5 0.82x = 4.5 Divide each side by '0.82'. x = 5.487804878 Simplifying x = 5.487804878
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