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Simplifying 500 = 45(12) + 35(x + -12) Multiply 45 * 12 500 = 540 + 35(x + -12) Reorder the terms: 500 = 540 + 35(-12 + x) 500 = 540 + (-12 * 35 + x * 35) 500 = 540 + (-420 + 35x) Combine like terms: 540 + -420 = 120 500 = 120 + 35x Solving 500 = 120 + 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 = 120 + 35x + -35x Combine like terms: 35x + -35x = 0 500 + -35x = 120 + 0 500 + -35x = 120 Add '-500' to each side of the equation. 500 + -500 + -35x = 120 + -500 Combine like terms: 500 + -500 = 0 0 + -35x = 120 + -500 -35x = 120 + -500 Combine like terms: 120 + -500 = -380 -35x = -380 Divide each side by '-35'. x = 10.85714286 Simplifying x = 10.85714286
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