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Simplifying 0.5x + -1x = 7(x + 2) Combine like terms: 0.5x + -1x = -0.5x -0.5x = 7(x + 2) Reorder the terms: -0.5x = 7(2 + x) -0.5x = (2 * 7 + x * 7) -0.5x = (14 + 7x) Solving -0.5x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -0.5x + -7x = 14 + 7x + -7x Combine like terms: -0.5x + -7x = -7.5x -7.5x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -7.5x = 14 + 0 -7.5x = 14 Divide each side by '-7.5'. x = -1.866666667 Simplifying x = -1.866666667
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