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Simplifying 500 = 35x + 45(12 + -1x) 500 = 35x + (12 * 45 + -1x * 45) 500 = 35x + (540 + -45x) Reorder the terms: 500 = 540 + 35x + -45x Combine like terms: 35x + -45x = -10x 500 = 540 + -10x Solving 500 = 540 + -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 = 540 + -10x + 10x Combine like terms: -10x + 10x = 0 500 + 10x = 540 + 0 500 + 10x = 540 Add '-500' to each side of the equation. 500 + -500 + 10x = 540 + -500 Combine like terms: 500 + -500 = 0 0 + 10x = 540 + -500 10x = 540 + -500 Combine like terms: 540 + -500 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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