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Simplifying 10X + -51(1 + Y) = 3(2Y + -2) + -20 10X + (1 * -51 + Y * -51) = 3(2Y + -2) + -20 10X + (-51 + -51Y) = 3(2Y + -2) + -20 Reorder the terms: -51 + 10X + -51Y = 3(2Y + -2) + -20 Reorder the terms: -51 + 10X + -51Y = 3(-2 + 2Y) + -20 -51 + 10X + -51Y = (-2 * 3 + 2Y * 3) + -20 -51 + 10X + -51Y = (-6 + 6Y) + -20 Reorder the terms: -51 + 10X + -51Y = -6 + -20 + 6Y Combine like terms: -6 + -20 = -26 -51 + 10X + -51Y = -26 + 6Y Solving -51 + 10X + -51Y = -26 + 6Y Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 10X + 51 + -51Y = -26 + 51 + 6Y Reorder the terms: -51 + 51 + 10X + -51Y = -26 + 51 + 6Y Combine like terms: -51 + 51 = 0 0 + 10X + -51Y = -26 + 51 + 6Y 10X + -51Y = -26 + 51 + 6Y Combine like terms: -26 + 51 = 25 10X + -51Y = 25 + 6Y Add '51Y' to each side of the equation. 10X + -51Y + 51Y = 25 + 6Y + 51Y Combine like terms: -51Y + 51Y = 0 10X + 0 = 25 + 6Y + 51Y 10X = 25 + 6Y + 51Y Combine like terms: 6Y + 51Y = 57Y 10X = 25 + 57Y Divide each side by '10'. X = 2.5 + 5.7Y Simplifying X = 2.5 + 5.7Y
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