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Simplifying 40x + 2700 = 24x + 3500 Reorder the terms: 2700 + 40x = 24x + 3500 Reorder the terms: 2700 + 40x = 3500 + 24x Solving 2700 + 40x = 3500 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 2700 + 40x + -24x = 3500 + 24x + -24x Combine like terms: 40x + -24x = 16x 2700 + 16x = 3500 + 24x + -24x Combine like terms: 24x + -24x = 0 2700 + 16x = 3500 + 0 2700 + 16x = 3500 Add '-2700' to each side of the equation. 2700 + -2700 + 16x = 3500 + -2700 Combine like terms: 2700 + -2700 = 0 0 + 16x = 3500 + -2700 16x = 3500 + -2700 Combine like terms: 3500 + -2700 = 800 16x = 800 Divide each side by '16'. x = 50 Simplifying x = 50
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