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Simplifying 0.90x + 0.05(6 + -1x) = 0.10(54) 0.90x + (6 * 0.05 + -1x * 0.05) = 0.10(54) 0.90x + (0.3 + -0.05x) = 0.10(54) Reorder the terms: 0.3 + 0.90x + -0.05x = 0.10(54) Combine like terms: 0.90x + -0.05x = 0.85x 0.3 + 0.85x = 0.10(54) Multiply 0.10 * 54 0.3 + 0.85x = 5.4 Solving 0.3 + 0.85x = 5.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.85x = 5.4 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.85x = 5.4 + -0.3 0.85x = 5.4 + -0.3 Combine like terms: 5.4 + -0.3 = 5.1 0.85x = 5.1 Divide each side by '0.85'. x = 6 Simplifying x = 6
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