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Simplifying 90x + 25(100) = 80x + 80 * 100 Multiply 25 * 100 90x + 2500 = 80x + 80 * 100 Reorder the terms: 2500 + 90x = 80x + 80 * 100 Multiply 80 * 100 2500 + 90x = 80x + 8000 Reorder the terms: 2500 + 90x = 8000 + 80x Solving 2500 + 90x = 8000 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 2500 + 90x + -80x = 8000 + 80x + -80x Combine like terms: 90x + -80x = 10x 2500 + 10x = 8000 + 80x + -80x Combine like terms: 80x + -80x = 0 2500 + 10x = 8000 + 0 2500 + 10x = 8000 Add '-2500' to each side of the equation. 2500 + -2500 + 10x = 8000 + -2500 Combine like terms: 2500 + -2500 = 0 0 + 10x = 8000 + -2500 10x = 8000 + -2500 Combine like terms: 8000 + -2500 = 5500 10x = 5500 Divide each side by '10'. x = 550 Simplifying x = 550
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