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Simplifying 2x + 17 + -1.2x = 10 + -0.2x + 11 Reorder the terms: 17 + 2x + -1.2x = 10 + -0.2x + 11 Combine like terms: 2x + -1.2x = 0.8x 17 + 0.8x = 10 + -0.2x + 11 Reorder the terms: 17 + 0.8x = 10 + 11 + -0.2x Combine like terms: 10 + 11 = 21 17 + 0.8x = 21 + -0.2x Solving 17 + 0.8x = 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. 17 + 0.8x + 0.2x = 21 + -0.2x + 0.2x Combine like terms: 0.8x + 0.2x = 1x 17 + 1x = 21 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 17 + 1x = 21 + 0.0 17 + 1x = 21 Add '-17' to each side of the equation. 17 + -17 + 1x = 21 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 21 + -17 1x = 21 + -17 Combine like terms: 21 + -17 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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