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Simplifying 0.6x + 17 + -3.3x = 0.8 + -1.1x + 21 Reorder the terms: 17 + 0.6x + -3.3x = 0.8 + -1.1x + 21 Combine like terms: 0.6x + -3.3x = -2.7x 17 + -2.7x = 0.8 + -1.1x + 21 Reorder the terms: 17 + -2.7x = 0.8 + 21 + -1.1x Combine like terms: 0.8 + 21 = 21.8 17 + -2.7x = 21.8 + -1.1x Solving 17 + -2.7x = 21.8 + -1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1x' to each side of the equation. 17 + -2.7x + 1.1x = 21.8 + -1.1x + 1.1x Combine like terms: -2.7x + 1.1x = -1.6x 17 + -1.6x = 21.8 + -1.1x + 1.1x Combine like terms: -1.1x + 1.1x = 0.0 17 + -1.6x = 21.8 + 0.0 17 + -1.6x = 21.8 Add '-17' to each side of the equation. 17 + -17 + -1.6x = 21.8 + -17 Combine like terms: 17 + -17 = 0 0 + -1.6x = 21.8 + -17 -1.6x = 21.8 + -17 Combine like terms: 21.8 + -17 = 4.8 -1.6x = 4.8 Divide each side by '-1.6'. x = -3 Simplifying x = -3
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