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Simplifying 5x + 6.5 = 8x + -2.5 Reorder the terms: 6.5 + 5x = 8x + -2.5 Reorder the terms: 6.5 + 5x = -2.5 + 8x Solving 6.5 + 5x = -2.5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6.5 + 5x + -8x = -2.5 + 8x + -8x Combine like terms: 5x + -8x = -3x 6.5 + -3x = -2.5 + 8x + -8x Combine like terms: 8x + -8x = 0 6.5 + -3x = -2.5 + 0 6.5 + -3x = -2.5 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -3x = -2.5 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -3x = -2.5 + -6.5 -3x = -2.5 + -6.5 Combine like terms: -2.5 + -6.5 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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