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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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