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Simplifying 0.9x + 2.65 = 0.5x + 5.45 Reorder the terms: 2.65 + 0.9x = 0.5x + 5.45 Reorder the terms: 2.65 + 0.9x = 5.45 + 0.5x Solving 2.65 + 0.9x = 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. 2.65 + 0.9x + -0.5x = 5.45 + 0.5x + -0.5x Combine like terms: 0.9x + -0.5x = 0.4x 2.65 + 0.4x = 5.45 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2.65 + 0.4x = 5.45 + 0.0 2.65 + 0.4x = 5.45 Add '-2.65' to each side of the equation. 2.65 + -2.65 + 0.4x = 5.45 + -2.65 Combine like terms: 2.65 + -2.65 = 0.00 0.00 + 0.4x = 5.45 + -2.65 0.4x = 5.45 + -2.65 Combine like terms: 5.45 + -2.65 = 2.8 0.4x = 2.8 Divide each side by '0.4'. x = 7 Simplifying x = 7
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