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Simplifying 8.2 + 7x + -11.2 = 4 + 6x + -1x Reorder the terms: 8.2 + -11.2 + 7x = 4 + 6x + -1x Combine like terms: 8.2 + -11.2 = -3 -3 + 7x = 4 + 6x + -1x Combine like terms: 6x + -1x = 5x -3 + 7x = 4 + 5x Solving -3 + 7x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 7x + -5x = 4 + 5x + -5x Combine like terms: 7x + -5x = 2x -3 + 2x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 2x = 4 + 0 -3 + 2x = 4 Add '3' to each side of the equation. -3 + 3 + 2x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 4 + 3 2x = 4 + 3 Combine like terms: 4 + 3 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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