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Simplifying 0.5x + -8 = 2x + 7 Reorder the terms: -8 + 0.5x = 2x + 7 Reorder the terms: -8 + 0.5x = 7 + 2x Solving -8 + 0.5x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 0.5x + -2x = 7 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -8 + -1.5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -1.5x = 7 + 0 -8 + -1.5x = 7 Add '8' to each side of the equation. -8 + 8 + -1.5x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -1.5x = 7 + 8 -1.5x = 7 + 8 Combine like terms: 7 + 8 = 15 -1.5x = 15 Divide each side by '-1.5'. x = -10 Simplifying x = -10
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