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Simplifying 0.25x + 6.5 = -0.25x + -9.5 Reorder the terms: 6.5 + 0.25x = -0.25x + -9.5 Reorder the terms: 6.5 + 0.25x = -9.5 + -0.25x Solving 6.5 + 0.25x = -9.5 + -0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.25x' to each side of the equation. 6.5 + 0.25x + 0.25x = -9.5 + -0.25x + 0.25x Combine like terms: 0.25x + 0.25x = 0.5x 6.5 + 0.5x = -9.5 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 6.5 + 0.5x = -9.5 + 0.00 6.5 + 0.5x = -9.5 Add '-6.5' to each side of the equation. 6.5 + -6.5 + 0.5x = -9.5 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 0.5x = -9.5 + -6.5 0.5x = -9.5 + -6.5 Combine like terms: -9.5 + -6.5 = -16 0.5x = -16 Divide each side by '0.5'. x = -32 Simplifying x = -32
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