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Simplifying 2.7x + -71 = 1.1x + 9 Reorder the terms: -71 + 2.7x = 1.1x + 9 Reorder the terms: -71 + 2.7x = 9 + 1.1x Solving -71 + 2.7x = 9 + 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. -71 + 2.7x + -1.1x = 9 + 1.1x + -1.1x Combine like terms: 2.7x + -1.1x = 1.6x -71 + 1.6x = 9 + 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 -71 + 1.6x = 9 + 0.0 -71 + 1.6x = 9 Add '71' to each side of the equation. -71 + 71 + 1.6x = 9 + 71 Combine like terms: -71 + 71 = 0 0 + 1.6x = 9 + 71 1.6x = 9 + 71 Combine like terms: 9 + 71 = 80 1.6x = 80 Divide each side by '1.6'. x = 50 Simplifying x = 50
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