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Simplifying 2.25x + 5.25 = 3x + 1.5 Reorder the terms: 5.25 + 2.25x = 3x + 1.5 Reorder the terms: 5.25 + 2.25x = 1.5 + 3x Solving 5.25 + 2.25x = 1.5 + 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. 5.25 + 2.25x + -3x = 1.5 + 3x + -3x Combine like terms: 2.25x + -3x = -0.75x 5.25 + -0.75x = 1.5 + 3x + -3x Combine like terms: 3x + -3x = 0 5.25 + -0.75x = 1.5 + 0 5.25 + -0.75x = 1.5 Add '-5.25' to each side of the equation. 5.25 + -5.25 + -0.75x = 1.5 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + -0.75x = 1.5 + -5.25 -0.75x = 1.5 + -5.25 Combine like terms: 1.5 + -5.25 = -3.75 -0.75x = -3.75 Divide each side by '-0.75'. x = 5 Simplifying x = 5
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