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Simplifying 2.25x + -0.125 = 3x + 3.75 Reorder the terms: -0.125 + 2.25x = 3x + 3.75 Reorder the terms: -0.125 + 2.25x = 3.75 + 3x Solving -0.125 + 2.25x = 3.75 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -0.125 + 2.25x + -3x = 3.75 + 3x + -3x Combine like terms: 2.25x + -3x = -0.75x -0.125 + -0.75x = 3.75 + 3x + -3x Combine like terms: 3x + -3x = 0 -0.125 + -0.75x = 3.75 + 0 -0.125 + -0.75x = 3.75 Add '0.125' to each side of the equation. -0.125 + 0.125 + -0.75x = 3.75 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + -0.75x = 3.75 + 0.125 -0.75x = 3.75 + 0.125 Combine like terms: 3.75 + 0.125 = 3.875 -0.75x = 3.875 Divide each side by '-0.75'. x = -5.166666667 Simplifying x = -5.166666667
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