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Simplifying 2(0.25x + 1) + -2 = 0.75x + -1.75 Reorder the terms: 2(1 + 0.25x) + -2 = 0.75x + -1.75 (1 * 2 + 0.25x * 2) + -2 = 0.75x + -1.75 (2 + 0.5x) + -2 = 0.75x + -1.75 Reorder the terms: 2 + -2 + 0.5x = 0.75x + -1.75 Combine like terms: 2 + -2 = 0 0 + 0.5x = 0.75x + -1.75 0.5x = 0.75x + -1.75 Reorder the terms: 0.5x = -1.75 + 0.75x Solving 0.5x = -1.75 + 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. 0.5x + -0.75x = -1.75 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x -0.25x = -1.75 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -0.25x = -1.75 + 0.00 -0.25x = -1.75 Divide each side by '-0.25'. x = 7 Simplifying x = 7
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