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Simplifying (X + -5) * 2 + (Y + -6) * 2 = 36 Reorder the terms: (-5 + X) * 2 + (Y + -6) * 2 = 36 Reorder the terms for easier multiplication: 2(-5 + X) + (Y + -6) * 2 = 36 (-5 * 2 + X * 2) + (Y + -6) * 2 = 36 (-10 + 2X) + (Y + -6) * 2 = 36 Reorder the terms: -10 + 2X + (-6 + Y) * 2 = 36 Reorder the terms for easier multiplication: -10 + 2X + 2(-6 + Y) = 36 -10 + 2X + (-6 * 2 + Y * 2) = 36 -10 + 2X + (-12 + 2Y) = 36 Reorder the terms: -10 + -12 + 2X + 2Y = 36 Combine like terms: -10 + -12 = -22 -22 + 2X + 2Y = 36 Solving -22 + 2X + 2Y = 36 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 2X + 22 + 2Y = 36 + 22 Reorder the terms: -22 + 22 + 2X + 2Y = 36 + 22 Combine like terms: -22 + 22 = 0 0 + 2X + 2Y = 36 + 22 2X + 2Y = 36 + 22 Combine like terms: 36 + 22 = 58 2X + 2Y = 58 Add '-2Y' to each side of the equation. 2X + 2Y + -2Y = 58 + -2Y Combine like terms: 2Y + -2Y = 0 2X + 0 = 58 + -2Y 2X = 58 + -2Y Divide each side by '2'. X = 29 + -1Y Simplifying X = 29 + -1Y
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