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Simplifying 4.5 + -0.67x = 8.25 + -1.5x Solving 4.5 + -0.67x = 8.25 + -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 + -0.67x + 1.5x = 8.25 + -1.5x + 1.5x Combine like terms: -0.67x + 1.5x = 0.83x 4.5 + 0.83x = 8.25 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 4.5 + 0.83x = 8.25 + 0.0 4.5 + 0.83x = 8.25 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.83x = 8.25 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.83x = 8.25 + -4.5 0.83x = 8.25 + -4.5 Combine like terms: 8.25 + -4.5 = 3.75 0.83x = 3.75 Divide each side by '0.83'. x = 4.518072289 Simplifying x = 4.518072289
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