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Simplifying 8x + 18 + 12 + 100y = 2000 Reorder the terms: 18 + 12 + 8x + 100y = 2000 Combine like terms: 18 + 12 = 30 30 + 8x + 100y = 2000 Solving 30 + 8x + 100y = 2000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 8x + -30 + 100y = 2000 + -30 Reorder the terms: 30 + -30 + 8x + 100y = 2000 + -30 Combine like terms: 30 + -30 = 0 0 + 8x + 100y = 2000 + -30 8x + 100y = 2000 + -30 Combine like terms: 2000 + -30 = 1970 8x + 100y = 1970 Add '-100y' to each side of the equation. 8x + 100y + -100y = 1970 + -100y Combine like terms: 100y + -100y = 0 8x + 0 = 1970 + -100y 8x = 1970 + -100y Divide each side by '8'. x = 246.25 + -12.5y Simplifying x = 246.25 + -12.5y
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