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Simplifying 90x + 30(90) = 80x + 80(90) Multiply 30 * 90 90x + 2700 = 80x + 80(90) Reorder the terms: 2700 + 90x = 80x + 80(90) Multiply 80 * 90 2700 + 90x = 80x + 7200 Reorder the terms: 2700 + 90x = 7200 + 80x Solving 2700 + 90x = 7200 + 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. 2700 + 90x + -80x = 7200 + 80x + -80x Combine like terms: 90x + -80x = 10x 2700 + 10x = 7200 + 80x + -80x Combine like terms: 80x + -80x = 0 2700 + 10x = 7200 + 0 2700 + 10x = 7200 Add '-2700' to each side of the equation. 2700 + -2700 + 10x = 7200 + -2700 Combine like terms: 2700 + -2700 = 0 0 + 10x = 7200 + -2700 10x = 7200 + -2700 Combine like terms: 7200 + -2700 = 4500 10x = 4500 Divide each side by '10'. x = 450 Simplifying x = 450
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