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Simplifying 0.5x + -1 = -1.5x + 7 Reorder the terms: -1 + 0.5x = -1.5x + 7 Reorder the terms: -1 + 0.5x = 7 + -1.5x Solving -1 + 0.5x = 7 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. -1 + 0.5x + 1.5x = 7 + -1.5x + 1.5x Combine like terms: 0.5x + 1.5x = 2x -1 + 2x = 7 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -1 + 2x = 7 + 0.0 -1 + 2x = 7 Add '1' to each side of the equation. -1 + 1 + 2x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 7 + 1 2x = 7 + 1 Combine like terms: 7 + 1 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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