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Simplifying 1000 = 50(x + -45) Reorder the terms: 1000 = 50(-45 + x) 1000 = (-45 * 50 + x * 50) 1000 = (-2250 + 50x) Solving 1000 = -2250 + 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. 1000 + -50x = -2250 + 50x + -50x Combine like terms: 50x + -50x = 0 1000 + -50x = -2250 + 0 1000 + -50x = -2250 Add '-1000' to each side of the equation. 1000 + -1000 + -50x = -2250 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -50x = -2250 + -1000 -50x = -2250 + -1000 Combine like terms: -2250 + -1000 = -3250 -50x = -3250 Divide each side by '-50'. x = 65 Simplifying x = 65
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