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Simplifying 0.5x + 3 = 2x + -6 Reorder the terms: 3 + 0.5x = 2x + -6 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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