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Simplifying 45 + 0.25x = 40 + 0.30x Solving 45 + 0.25x = 40 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 45 + 0.25x + -0.30x = 40 + 0.30x + -0.30x Combine like terms: 0.25x + -0.30x = -0.05x 45 + -0.05x = 40 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 45 + -0.05x = 40 + 0.00 45 + -0.05x = 40 Add '-45' to each side of the equation. 45 + -45 + -0.05x = 40 + -45 Combine like terms: 45 + -45 = 0 0 + -0.05x = 40 + -45 -0.05x = 40 + -45 Combine like terms: 40 + -45 = -5 -0.05x = -5 Divide each side by '-0.05'. x = 100 Simplifying x = 100
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