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Simplifying 2.5 + 0.5x = 1 + 0.75x Solving 2.5 + 0.5x = 1 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 2.5 + 0.5x + -0.75x = 1 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 2.5 + -0.25x = 1 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 2.5 + -0.25x = 1 + 0.00 2.5 + -0.25x = 1 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.25x = 1 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.25x = 1 + -2.5 -0.25x = 1 + -2.5 Combine like terms: 1 + -2.5 = -1.5 -0.25x = -1.5 Divide each side by '-0.25'. x = 6 Simplifying x = 6
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