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Simplifying 0.75x + 0.5x + 1 = 1 + 2x Reorder the terms: 1 + 0.75x + 0.5x = 1 + 2x Combine like terms: 0.75x + 0.5x = 1.25x 1 + 1.25x = 1 + 2x Add '-1' to each side of the equation. 1 + -1 + 1.25x = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 0 + 1.25x = 1 + -1 + 2x 1.25x = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 1.25x = 0 + 2x 1.25x = 2x Solving 1.25x = 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. 1.25x + -2x = 2x + -2x Combine like terms: 1.25x + -2x = -0.75x -0.75x = 2x + -2x Combine like terms: 2x + -2x = 0 -0.75x = 0 Divide each side by '-0.75'. x = 0 Simplifying x = 0
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