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Simplifying 2.5x + 97 = 4.7x + 20 Reorder the terms: 97 + 2.5x = 4.7x + 20 Reorder the terms: 97 + 2.5x = 20 + 4.7x Solving 97 + 2.5x = 20 + 4.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.7x' to each side of the equation. 97 + 2.5x + -4.7x = 20 + 4.7x + -4.7x Combine like terms: 2.5x + -4.7x = -2.2x 97 + -2.2x = 20 + 4.7x + -4.7x Combine like terms: 4.7x + -4.7x = 0.0 97 + -2.2x = 20 + 0.0 97 + -2.2x = 20 Add '-97' to each side of the equation. 97 + -97 + -2.2x = 20 + -97 Combine like terms: 97 + -97 = 0 0 + -2.2x = 20 + -97 -2.2x = 20 + -97 Combine like terms: 20 + -97 = -77 -2.2x = -77 Divide each side by '-2.2'. x = 35 Simplifying x = 35
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