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Simplifying 15x + -45 = 75x + 75 Reorder the terms: -45 + 15x = 75x + 75 Reorder the terms: -45 + 15x = 75 + 75x Solving -45 + 15x = 75 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. -45 + 15x + -75x = 75 + 75x + -75x Combine like terms: 15x + -75x = -60x -45 + -60x = 75 + 75x + -75x Combine like terms: 75x + -75x = 0 -45 + -60x = 75 + 0 -45 + -60x = 75 Add '45' to each side of the equation. -45 + 45 + -60x = 75 + 45 Combine like terms: -45 + 45 = 0 0 + -60x = 75 + 45 -60x = 75 + 45 Combine like terms: 75 + 45 = 120 -60x = 120 Divide each side by '-60'. x = -2 Simplifying x = -2
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