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Simplifying 157000 = (x * 12) + ((x + 2500) * 10) Reorder the terms for easier multiplication: 157000 = (12x) + ((x + 2500) * 10) Reorder the terms: 157000 = (12x) + ((2500 + x) * 10) Reorder the terms for easier multiplication: 157000 = (12x) + (10(2500 + x)) 157000 = (12x) + ((2500 * 10 + x * 10)) 157000 = (12x) + ((25000 + 10x)) 157000 = (12x) + (25000 + 10x) Remove parenthesis around (25000 + 10x) 157000 = (12x) + 25000 + 10x Reorder the terms: 157000 = 25000 + (12x) + 10x Combine like terms: (12x) + 10x = 22x 157000 = 25000 + 22x Solving 157000 = 25000 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 157000 + -22x = 25000 + 22x + -22x Combine like terms: 22x + -22x = 0 157000 + -22x = 25000 + 0 157000 + -22x = 25000 Add '-157000' to each side of the equation. 157000 + -157000 + -22x = 25000 + -157000 Combine like terms: 157000 + -157000 = 0 0 + -22x = 25000 + -157000 -22x = 25000 + -157000 Combine like terms: 25000 + -157000 = -132000 -22x = -132000 Divide each side by '-22'. x = 6000 Simplifying x = 6000
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