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Simplifying 6.1x + -9 = 5.1x + 5 Reorder the terms: -9 + 6.1x = 5.1x + 5 Reorder the terms: -9 + 6.1x = 5 + 5.1x Solving -9 + 6.1x = 5 + 5.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.1x' to each side of the equation. -9 + 6.1x + -5.1x = 5 + 5.1x + -5.1x Combine like terms: 6.1x + -5.1x = 1x -9 + 1x = 5 + 5.1x + -5.1x Combine like terms: 5.1x + -5.1x = 0.0 -9 + 1x = 5 + 0.0 -9 + 1x = 5 Add '9' to each side of the equation. -9 + 9 + 1x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 5 + 9 1x = 5 + 9 Combine like terms: 5 + 9 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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