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Simplifying 8.5x + -2 = 7.5x + 6 Reorder the terms: -2 + 8.5x = 7.5x + 6 Reorder the terms: -2 + 8.5x = 6 + 7.5x Solving -2 + 8.5x = 6 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. -2 + 8.5x + -7.5x = 6 + 7.5x + -7.5x Combine like terms: 8.5x + -7.5x = 1x -2 + 1x = 6 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 -2 + 1x = 6 + 0.0 -2 + 1x = 6 Add '2' to each side of the equation. -2 + 2 + 1x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 6 + 2 1x = 6 + 2 Combine like terms: 6 + 2 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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