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Simplifying x + 6.5 = 2x + 0.5 + 0.5 Reorder the terms: 6.5 + x = 2x + 0.5 + 0.5 Reorder the terms: 6.5 + x = 0.5 + 0.5 + 2x Combine like terms: 0.5 + 0.5 = 1 6.5 + x = 1 + 2x Solving 6.5 + x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6.5 + x + -2x = 1 + 2x + -2x Combine like terms: x + -2x = -1x 6.5 + -1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 6.5 + -1x = 1 + 0 6.5 + -1x = 1 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -1x = 1 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -1x = 1 + -6.5 -1x = 1 + -6.5 Combine like terms: 1 + -6.5 = -5.5 -1x = -5.5 Divide each side by '-1'. x = 5.5 Simplifying x = 5.5
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