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Simplifying 0.5x + -6 = 3x + 4 Reorder the terms: -6 + 0.5x = 3x + 4 Reorder the terms: -6 + 0.5x = 4 + 3x Solving -6 + 0.5x = 4 + 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. -6 + 0.5x + -3x = 4 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x -6 + -2.5x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -2.5x = 4 + 0 -6 + -2.5x = 4 Add '6' to each side of the equation. -6 + 6 + -2.5x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -2.5x = 4 + 6 -2.5x = 4 + 6 Combine like terms: 4 + 6 = 10 -2.5x = 10 Divide each side by '-2.5'. x = -4 Simplifying x = -4
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