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Simplifying -5x + 45 + 50 = 45x + -90 + -15 Reorder the terms: 45 + 50 + -5x = 45x + -90 + -15 Combine like terms: 45 + 50 = 95 95 + -5x = 45x + -90 + -15 Reorder the terms: 95 + -5x = -90 + -15 + 45x Combine like terms: -90 + -15 = -105 95 + -5x = -105 + 45x Solving 95 + -5x = -105 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 95 + -5x + -45x = -105 + 45x + -45x Combine like terms: -5x + -45x = -50x 95 + -50x = -105 + 45x + -45x Combine like terms: 45x + -45x = 0 95 + -50x = -105 + 0 95 + -50x = -105 Add '-95' to each side of the equation. 95 + -95 + -50x = -105 + -95 Combine like terms: 95 + -95 = 0 0 + -50x = -105 + -95 -50x = -105 + -95 Combine like terms: -105 + -95 = -200 -50x = -200 Divide each side by '-50'. x = 4 Simplifying x = 4
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