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Simplifying 0.5x + -3 = 6 + 2x Reorder the terms: -3 + 0.5x = 6 + 2x Solving -3 + 0.5x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 0.5x + -2x = 6 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -3 + -1.5x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -1.5x = 6 + 0 -3 + -1.5x = 6 Add '3' to each side of the equation. -3 + 3 + -1.5x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -1.5x = 6 + 3 -1.5x = 6 + 3 Combine like terms: 6 + 3 = 9 -1.5x = 9 Divide each side by '-1.5'. x = -6 Simplifying x = -6
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