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Simplifying 8 + -1x + 0.5 = 5 + -4x Reorder the terms: 8 + 0.5 + -1x = 5 + -4x Combine like terms: 8 + 0.5 = 8.5 8.5 + -1x = 5 + -4x Solving 8.5 + -1x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8.5 + -1x + 4x = 5 + -4x + 4x Combine like terms: -1x + 4x = 3x 8.5 + 3x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 8.5 + 3x = 5 + 0 8.5 + 3x = 5 Add '-8.5' to each side of the equation. 8.5 + -8.5 + 3x = 5 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + 3x = 5 + -8.5 3x = 5 + -8.5 Combine like terms: 5 + -8.5 = -3.5 3x = -3.5 Divide each side by '3'. x = -1.166666667 Simplifying x = -1.166666667
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