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Simplifying x + 2.5x + -0.33 = 0.25(x + 0.66) Reorder the terms: -0.33 + x + 2.5x = 0.25(x + 0.66) Combine like terms: x + 2.5x = 3.5x -0.33 + 3.5x = 0.25(x + 0.66) Reorder the terms: -0.33 + 3.5x = 0.25(0.66 + x) -0.33 + 3.5x = (0.66 * 0.25 + x * 0.25) -0.33 + 3.5x = (0.165 + 0.25x) Solving -0.33 + 3.5x = 0.165 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -0.33 + 3.5x + -0.25x = 0.165 + 0.25x + -0.25x Combine like terms: 3.5x + -0.25x = 3.25x -0.33 + 3.25x = 0.165 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -0.33 + 3.25x = 0.165 + 0.00 -0.33 + 3.25x = 0.165 Add '0.33' to each side of the equation. -0.33 + 0.33 + 3.25x = 0.165 + 0.33 Combine like terms: -0.33 + 0.33 = 0.00 0.00 + 3.25x = 0.165 + 0.33 3.25x = 0.165 + 0.33 Combine like terms: 0.165 + 0.33 = 0.495 3.25x = 0.495 Divide each side by '3.25'. x = 0.1523076923 Simplifying x = 0.1523076923
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