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Simplifying 0.75x + 4.5 = 1.5x + 2.5 Reorder the terms: 4.5 + 0.75x = 1.5x + 2.5 Reorder the terms: 4.5 + 0.75x = 2.5 + 1.5x Solving 4.5 + 0.75x = 2.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 4.5 + 0.75x + -1.5x = 2.5 + 1.5x + -1.5x Combine like terms: 0.75x + -1.5x = -0.75x 4.5 + -0.75x = 2.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 4.5 + -0.75x = 2.5 + 0.0 4.5 + -0.75x = 2.5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -0.75x = 2.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.75x = 2.5 + -4.5 -0.75x = 2.5 + -4.5 Combine like terms: 2.5 + -4.5 = -2 -0.75x = -2 Divide each side by '-0.75'. x = 2.666666667 Simplifying x = 2.666666667
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