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Simplifying 500 = 45x + 35(12 + -1x) 500 = 45x + (12 * 35 + -1x * 35) 500 = 45x + (420 + -35x) Reorder the terms: 500 = 420 + 45x + -35x Combine like terms: 45x + -35x = 10x 500 = 420 + 10x Solving 500 = 420 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 500 + -10x = 420 + 10x + -10x Combine like terms: 10x + -10x = 0 500 + -10x = 420 + 0 500 + -10x = 420 Add '-500' to each side of the equation. 500 + -500 + -10x = 420 + -500 Combine like terms: 500 + -500 = 0 0 + -10x = 420 + -500 -10x = 420 + -500 Combine like terms: 420 + -500 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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