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Simplifying 2x + -8.5 = 3x + 0.5 Reorder the terms: -8.5 + 2x = 3x + 0.5 Reorder the terms: -8.5 + 2x = 0.5 + 3x Solving -8.5 + 2x = 0.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8.5 + 2x + -3x = 0.5 + 3x + -3x Combine like terms: 2x + -3x = -1x -8.5 + -1x = 0.5 + 3x + -3x Combine like terms: 3x + -3x = 0 -8.5 + -1x = 0.5 + 0 -8.5 + -1x = 0.5 Add '8.5' to each side of the equation. -8.5 + 8.5 + -1x = 0.5 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + -1x = 0.5 + 8.5 -1x = 0.5 + 8.5 Combine like terms: 0.5 + 8.5 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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