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Simplifying 50 + 0.45x = 40 + 0.55x Solving 50 + 0.45x = 40 + 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. 50 + 0.45x + -0.55x = 40 + 0.55x + -0.55x Combine like terms: 0.45x + -0.55x = -0.1x 50 + -0.1x = 40 + 0.55x + -0.55x Combine like terms: 0.55x + -0.55x = 0.00 50 + -0.1x = 40 + 0.00 50 + -0.1x = 40 Add '-50' to each side of the equation. 50 + -50 + -0.1x = 40 + -50 Combine like terms: 50 + -50 = 0 0 + -0.1x = 40 + -50 -0.1x = 40 + -50 Combine like terms: 40 + -50 = -10 -0.1x = -10 Divide each side by '-0.1'. x = 100 Simplifying x = 100
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