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Simplifying 45x + -1200 = 60x + -1800 Reorder the terms: -1200 + 45x = 60x + -1800 Reorder the terms: -1200 + 45x = -1800 + 60x Solving -1200 + 45x = -1800 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. -1200 + 45x + -60x = -1800 + 60x + -60x Combine like terms: 45x + -60x = -15x -1200 + -15x = -1800 + 60x + -60x Combine like terms: 60x + -60x = 0 -1200 + -15x = -1800 + 0 -1200 + -15x = -1800 Add '1200' to each side of the equation. -1200 + 1200 + -15x = -1800 + 1200 Combine like terms: -1200 + 1200 = 0 0 + -15x = -1800 + 1200 -15x = -1800 + 1200 Combine like terms: -1800 + 1200 = -600 -15x = -600 Divide each side by '-15'. x = 40 Simplifying x = 40
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