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Simplifying 3.1x + -84 = 1.1x + 6 Reorder the terms: -84 + 3.1x = 1.1x + 6 Reorder the terms: -84 + 3.1x = 6 + 1.1x Solving -84 + 3.1x = 6 + 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. -84 + 3.1x + -1.1x = 6 + 1.1x + -1.1x Combine like terms: 3.1x + -1.1x = 2x -84 + 2x = 6 + 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 -84 + 2x = 6 + 0.0 -84 + 2x = 6 Add '84' to each side of the equation. -84 + 84 + 2x = 6 + 84 Combine like terms: -84 + 84 = 0 0 + 2x = 6 + 84 2x = 6 + 84 Combine like terms: 6 + 84 = 90 2x = 90 Divide each side by '2'. x = 45 Simplifying x = 45
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