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Simplifying 45 + 15 + 0.55x = 50 + 0.65x Combine like terms: 45 + 15 = 60 60 + 0.55x = 50 + 0.65x Solving 60 + 0.55x = 50 + 0.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65x' to each side of the equation. 60 + 0.55x + -0.65x = 50 + 0.65x + -0.65x Combine like terms: 0.55x + -0.65x = -0.1x 60 + -0.1x = 50 + 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 60 + -0.1x = 50 + 0.00 60 + -0.1x = 50 Add '-60' to each side of the equation. 60 + -60 + -0.1x = 50 + -60 Combine like terms: 60 + -60 = 0 0 + -0.1x = 50 + -60 -0.1x = 50 + -60 Combine like terms: 50 + -60 = -10 -0.1x = -10 Divide each side by '-0.1'. x = 100 Simplifying x = 100
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