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Simplifying 2.7x + -51 = 1.1x + 5 Reorder the terms: -51 + 2.7x = 1.1x + 5 Reorder the terms: -51 + 2.7x = 5 + 1.1x Solving -51 + 2.7x = 5 + 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. -51 + 2.7x + -1.1x = 5 + 1.1x + -1.1x Combine like terms: 2.7x + -1.1x = 1.6x -51 + 1.6x = 5 + 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 -51 + 1.6x = 5 + 0.0 -51 + 1.6x = 5 Add '51' to each side of the equation. -51 + 51 + 1.6x = 5 + 51 Combine like terms: -51 + 51 = 0 0 + 1.6x = 5 + 51 1.6x = 5 + 51 Combine like terms: 5 + 51 = 56 1.6x = 56 Divide each side by '1.6'. x = 35 Simplifying x = 35
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