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Simplifying 0.5x + -4 = 3x + 2 Reorder the terms: -4 + 0.5x = 3x + 2 Reorder the terms: -4 + 0.5x = 2 + 3x Solving -4 + 0.5x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 0.5x + -3x = 2 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x -4 + -2.5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -2.5x = 2 + 0 -4 + -2.5x = 2 Add '4' to each side of the equation. -4 + 4 + -2.5x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -2.5x = 2 + 4 -2.5x = 2 + 4 Combine like terms: 2 + 4 = 6 -2.5x = 6 Divide each side by '-2.5'. x = -2.4 Simplifying x = -2.4
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