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Simplifying 0.5x + -6 = 4x + 8 Reorder the terms: -6 + 0.5x = 4x + 8 Reorder the terms: -6 + 0.5x = 8 + 4x Solving -6 + 0.5x = 8 + 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. -6 + 0.5x + -4x = 8 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x -6 + -3.5x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -3.5x = 8 + 0 -6 + -3.5x = 8 Add '6' to each side of the equation. -6 + 6 + -3.5x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -3.5x = 8 + 6 -3.5x = 8 + 6 Combine like terms: 8 + 6 = 14 -3.5x = 14 Divide each side by '-3.5'. x = -4 Simplifying x = -4
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