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Simplifying 0.5x + -4 = 7 + -1x Reorder the terms: -4 + 0.5x = 7 + -1x Solving -4 + 0.5x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 0.5x + x = 7 + -1x + x Combine like terms: 0.5x + x = 1.5x -4 + 1.5x = 7 + -1x + x Combine like terms: -1x + x = 0 -4 + 1.5x = 7 + 0 -4 + 1.5x = 7 Add '4' to each side of the equation. -4 + 4 + 1.5x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 1.5x = 7 + 4 1.5x = 7 + 4 Combine like terms: 7 + 4 = 11 1.5x = 11 Divide each side by '1.5'. x = 7.333333333 Simplifying x = 7.333333333
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