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Simplifying 8 + 0.5x = 1 + -4x Solving 8 + 0.5x = 1 + -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 + 0.5x + 4x = 1 + -4x + 4x Combine like terms: 0.5x + 4x = 4.5x 8 + 4.5x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 4.5x = 1 + 0 8 + 4.5x = 1 Add '-8' to each side of the equation. 8 + -8 + 4.5x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 4.5x = 1 + -8 4.5x = 1 + -8 Combine like terms: 1 + -8 = -7 4.5x = -7 Divide each side by '4.5'. x = -1.555555556 Simplifying x = -1.555555556
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