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Simplifying 0.90x + 0.70 + -0.05x = 0.10(58) Reorder the terms: 0.70 + 0.90x + -0.05x = 0.10(58) Combine like terms: 0.90x + -0.05x = 0.85x 0.70 + 0.85x = 0.10(58) Multiply 0.10 * 58 0.70 + 0.85x = 5.8 Solving 0.70 + 0.85x = 5.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.70' to each side of the equation. 0.70 + -0.70 + 0.85x = 5.8 + -0.70 Combine like terms: 0.70 + -0.70 = 0.00 0.00 + 0.85x = 5.8 + -0.70 0.85x = 5.8 + -0.70 Combine like terms: 5.8 + -0.70 = 5.1 0.85x = 5.1 Divide each side by '0.85'. x = 6 Simplifying x = 6
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