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Simplifying 9X + -10Y = 3(4X + -50) Reorder the terms: 9X + -10Y = 3(-50 + 4X) 9X + -10Y = (-50 * 3 + 4X * 3) 9X + -10Y = (-150 + 12X) Solving 9X + -10Y = -150 + 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. 9X + -12X + -10Y = -150 + 12X + -12X Combine like terms: 9X + -12X = -3X -3X + -10Y = -150 + 12X + -12X Combine like terms: 12X + -12X = 0 -3X + -10Y = -150 + 0 -3X + -10Y = -150 Add '10Y' to each side of the equation. -3X + -10Y + 10Y = -150 + 10Y Combine like terms: -10Y + 10Y = 0 -3X + 0 = -150 + 10Y -3X = -150 + 10Y Divide each side by '-3'. X = 50 + -3.333333333Y Simplifying X = 50 + -3.333333333Y
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