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Simplifying 1800 = 12(x + 100) Reorder the terms: 1800 = 12(100 + x) 1800 = (100 * 12 + x * 12) 1800 = (1200 + 12x) Solving 1800 = 1200 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1800 + -12x = 1200 + 12x + -12x Combine like terms: 12x + -12x = 0 1800 + -12x = 1200 + 0 1800 + -12x = 1200 Add '-1800' to each side of the equation. 1800 + -1800 + -12x = 1200 + -1800 Combine like terms: 1800 + -1800 = 0 0 + -12x = 1200 + -1800 -12x = 1200 + -1800 Combine like terms: 1200 + -1800 = -600 -12x = -600 Divide each side by '-12'. x = 50 Simplifying x = 50
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