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Simplifying 17 + 0.7x = 22 + 0.5x Solving 17 + 0.7x = 22 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 17 + 0.7x + -0.5x = 22 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 17 + 0.2x = 22 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 17 + 0.2x = 22 + 0.0 17 + 0.2x = 22 Add '-17' to each side of the equation. 17 + -17 + 0.2x = 22 + -17 Combine like terms: 17 + -17 = 0 0 + 0.2x = 22 + -17 0.2x = 22 + -17 Combine like terms: 22 + -17 = 5 0.2x = 5 Divide each side by '0.2'. x = 25 Simplifying x = 25
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