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Simplifying 0.5x + -3 = 0.5 + x Reorder the terms: -3 + 0.5x = 0.5 + x Solving -3 + 0.5x = 0.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 0.5x + -1x = 0.5 + x + -1x Combine like terms: 0.5x + -1x = -0.5x -3 + -0.5x = 0.5 + x + -1x Combine like terms: x + -1x = 0 -3 + -0.5x = 0.5 + 0 -3 + -0.5x = 0.5 Add '3' to each side of the equation. -3 + 3 + -0.5x = 0.5 + 3 Combine like terms: -3 + 3 = 0 0 + -0.5x = 0.5 + 3 -0.5x = 0.5 + 3 Combine like terms: 0.5 + 3 = 3.5 -0.5x = 3.5 Divide each side by '-0.5'. x = -7 Simplifying x = -7
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