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Simplifying 2.45x + 95 = 2.75x + 35 Reorder the terms: 95 + 2.45x = 2.75x + 35 Reorder the terms: 95 + 2.45x = 35 + 2.75x Solving 95 + 2.45x = 35 + 2.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.75x' to each side of the equation. 95 + 2.45x + -2.75x = 35 + 2.75x + -2.75x Combine like terms: 2.45x + -2.75x = -0.3x 95 + -0.3x = 35 + 2.75x + -2.75x Combine like terms: 2.75x + -2.75x = 0.00 95 + -0.3x = 35 + 0.00 95 + -0.3x = 35 Add '-95' to each side of the equation. 95 + -95 + -0.3x = 35 + -95 Combine like terms: 95 + -95 = 0 0 + -0.3x = 35 + -95 -0.3x = 35 + -95 Combine like terms: 35 + -95 = -60 -0.3x = -60 Divide each side by '-0.3'. x = 200 Simplifying x = 200
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