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Simplifying -0.9 + 2.65 = 0.5x + 5.45 Combine like terms: -0.9 + 2.65 = 1.75 1.75 = 0.5x + 5.45 Reorder the terms: 1.75 = 5.45 + 0.5x Solving 1.75 = 5.45 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 1.75 + -0.5x = 5.45 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.75 + -0.5x = 5.45 + 0.0 1.75 + -0.5x = 5.45 Add '-1.75' to each side of the equation. 1.75 + -1.75 + -0.5x = 5.45 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.5x = 5.45 + -1.75 -0.5x = 5.45 + -1.75 Combine like terms: 5.45 + -1.75 = 3.7 -0.5x = 3.7 Divide each side by '-0.5'. x = -7.4 Simplifying x = -7.4
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