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Simplifying 4 + 2x = 6.5 + -0.5x Solving 4 + 2x = 6.5 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 4 + 2x + 0.5x = 6.5 + -0.5x + 0.5x Combine like terms: 2x + 0.5x = 2.5x 4 + 2.5x = 6.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 4 + 2.5x = 6.5 + 0.0 4 + 2.5x = 6.5 Add '-4' to each side of the equation. 4 + -4 + 2.5x = 6.5 + -4 Combine like terms: 4 + -4 = 0 0 + 2.5x = 6.5 + -4 2.5x = 6.5 + -4 Combine like terms: 6.5 + -4 = 2.5 2.5x = 2.5 Divide each side by '2.5'. x = 1 Simplifying x = 1
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