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Simplifying 45 + 50x = 30 + 50(1 + -1x) 45 + 50x = 30 + (1 * 50 + -1x * 50) 45 + 50x = 30 + (50 + -50x) Combine like terms: 30 + 50 = 80 45 + 50x = 80 + -50x Solving 45 + 50x = 80 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. 45 + 50x + 50x = 80 + -50x + 50x Combine like terms: 50x + 50x = 100x 45 + 100x = 80 + -50x + 50x Combine like terms: -50x + 50x = 0 45 + 100x = 80 + 0 45 + 100x = 80 Add '-45' to each side of the equation. 45 + -45 + 100x = 80 + -45 Combine like terms: 45 + -45 = 0 0 + 100x = 80 + -45 100x = 80 + -45 Combine like terms: 80 + -45 = 35 100x = 35 Divide each side by '100'. x = 0.35 Simplifying x = 0.35
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