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Simplifying 2x + 17 + -1.2 = 10 + -0.2x + 11 Reorder the terms: 17 + -1.2 + 2x = 10 + -0.2x + 11 Combine like terms: 17 + -1.2 = 15.8 15.8 + 2x = 10 + -0.2x + 11 Reorder the terms: 15.8 + 2x = 10 + 11 + -0.2x Combine like terms: 10 + 11 = 21 15.8 + 2x = 21 + -0.2x Solving 15.8 + 2x = 21 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 15.8 + 2x + 0.2x = 21 + -0.2x + 0.2x Combine like terms: 2x + 0.2x = 2.2x 15.8 + 2.2x = 21 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 15.8 + 2.2x = 21 + 0.0 15.8 + 2.2x = 21 Add '-15.8' to each side of the equation. 15.8 + -15.8 + 2.2x = 21 + -15.8 Combine like terms: 15.8 + -15.8 = 0.0 0.0 + 2.2x = 21 + -15.8 2.2x = 21 + -15.8 Combine like terms: 21 + -15.8 = 5.2 2.2x = 5.2 Divide each side by '2.2'. x = 2.363636364 Simplifying x = 2.363636364
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