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Simplifying 0.9x + 2.65 = 0.55x + 5.45 Reorder the terms: 2.65 + 0.9x = 0.55x + 5.45 Reorder the terms: 2.65 + 0.9x = 5.45 + 0.55x Solving 2.65 + 0.9x = 5.45 + 0.55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.55x' to each side of the equation. 2.65 + 0.9x + -0.55x = 5.45 + 0.55x + -0.55x Combine like terms: 0.9x + -0.55x = 0.35x 2.65 + 0.35x = 5.45 + 0.55x + -0.55x Combine like terms: 0.55x + -0.55x = 0.00 2.65 + 0.35x = 5.45 + 0.00 2.65 + 0.35x = 5.45 Add '-2.65' to each side of the equation. 2.65 + -2.65 + 0.35x = 5.45 + -2.65 Combine like terms: 2.65 + -2.65 = 0.00 0.00 + 0.35x = 5.45 + -2.65 0.35x = 5.45 + -2.65 Combine like terms: 5.45 + -2.65 = 2.8 0.35x = 2.8 Divide each side by '0.35'. x = 8 Simplifying x = 8
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