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Simplifying 500 = 45 * 60 + 35(12 + -1x) Multiply 45 * 60 500 = 2700 + 35(12 + -1x) 500 = 2700 + (12 * 35 + -1x * 35) 500 = 2700 + (420 + -35x) Combine like terms: 2700 + 420 = 3120 500 = 3120 + -35x Solving 500 = 3120 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 500 + 35x = 3120 + -35x + 35x Combine like terms: -35x + 35x = 0 500 + 35x = 3120 + 0 500 + 35x = 3120 Add '-500' to each side of the equation. 500 + -500 + 35x = 3120 + -500 Combine like terms: 500 + -500 = 0 0 + 35x = 3120 + -500 35x = 3120 + -500 Combine like terms: 3120 + -500 = 2620 35x = 2620 Divide each side by '35'. x = 74.85714286 Simplifying x = 74.85714286
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