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Simplifying 0.5x + -6 + 2 = 1.25x + 8 Reorder the terms: -6 + 2 + 0.5x = 1.25x + 8 Combine like terms: -6 + 2 = -4 -4 + 0.5x = 1.25x + 8 Reorder the terms: -4 + 0.5x = 8 + 1.25x Solving -4 + 0.5x = 8 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. -4 + 0.5x + -1.25x = 8 + 1.25x + -1.25x Combine like terms: 0.5x + -1.25x = -0.75x -4 + -0.75x = 8 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 -4 + -0.75x = 8 + 0.00 -4 + -0.75x = 8 Add '4' to each side of the equation. -4 + 4 + -0.75x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -0.75x = 8 + 4 -0.75x = 8 + 4 Combine like terms: 8 + 4 = 12 -0.75x = 12 Divide each side by '-0.75'. x = -16 Simplifying x = -16
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