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Simplifying 4.1 + -3.6 = 6x + 6.8 + -5x Combine like terms: 4.1 + -3.6 = 0.5 0.5 = 6x + 6.8 + -5x Reorder the terms: 0.5 = 6.8 + 6x + -5x Combine like terms: 6x + -5x = 1x 0.5 = 6.8 + 1x Solving 0.5 = 6.8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.5 + -1x = 6.8 + 1x + -1x Combine like terms: 1x + -1x = 0 0.5 + -1x = 6.8 + 0 0.5 + -1x = 6.8 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1x = 6.8 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1x = 6.8 + -0.5 -1x = 6.8 + -0.5 Combine like terms: 6.8 + -0.5 = 6.3 -1x = 6.3 Divide each side by '-1'. x = -6.3 Simplifying x = -6.3
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