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Simplifying 0.5x + 4 = -1x + 7 Reorder the terms: 4 + 0.5x = -1x + 7 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 = 3 1.5x = 3 Divide each side by '1.5'. x = 2 Simplifying x = 2
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