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Simplifying 13.7x + -6.5 = -1.1x + 8.3 Reorder the terms: -6.5 + 13.7x = -1.1x + 8.3 Reorder the terms: -6.5 + 13.7x = 8.3 + -1.1x Solving -6.5 + 13.7x = 8.3 + -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. -6.5 + 13.7x + 1.1x = 8.3 + -1.1x + 1.1x Combine like terms: 13.7x + 1.1x = 14.8x -6.5 + 14.8x = 8.3 + -1.1x + 1.1x Combine like terms: -1.1x + 1.1x = 0.0 -6.5 + 14.8x = 8.3 + 0.0 -6.5 + 14.8x = 8.3 Add '6.5' to each side of the equation. -6.5 + 6.5 + 14.8x = 8.3 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 14.8x = 8.3 + 6.5 14.8x = 8.3 + 6.5 Combine like terms: 8.3 + 6.5 = 14.8 14.8x = 14.8 Divide each side by '14.8'. x = 1 Simplifying x = 1
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