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Simplifying 120 = 0.85(x + 6) Reorder the terms: 120 = 0.85(6 + x) 120 = (6 * 0.85 + x * 0.85) 120 = (5.1 + 0.85x) Solving 120 = 5.1 + 0.85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.85x' to each side of the equation. 120 + -0.85x = 5.1 + 0.85x + -0.85x Combine like terms: 0.85x + -0.85x = 0.00 120 + -0.85x = 5.1 + 0.00 120 + -0.85x = 5.1 Add '-120' to each side of the equation. 120 + -120 + -0.85x = 5.1 + -120 Combine like terms: 120 + -120 = 0 0 + -0.85x = 5.1 + -120 -0.85x = 5.1 + -120 Combine like terms: 5.1 + -120 = -114.9 -0.85x = -114.9 Divide each side by '-0.85'. x = 135.1764706 Simplifying x = 135.1764706
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