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Simplifying (X + -3) * 2 + (y + -2) * 2 = 9 Reorder the terms: (-3 + X) * 2 + (y + -2) * 2 = 9 Reorder the terms for easier multiplication: 2(-3 + X) + (y + -2) * 2 = 9 (-3 * 2 + X * 2) + (y + -2) * 2 = 9 (-6 + 2X) + (y + -2) * 2 = 9 Reorder the terms: -6 + 2X + (-2 + y) * 2 = 9 Reorder the terms for easier multiplication: -6 + 2X + 2(-2 + y) = 9 -6 + 2X + (-2 * 2 + y * 2) = 9 -6 + 2X + (-4 + 2y) = 9 Reorder the terms: -6 + -4 + 2X + 2y = 9 Combine like terms: -6 + -4 = -10 -10 + 2X + 2y = 9 Solving -10 + 2X + 2y = 9 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2X + 10 + 2y = 9 + 10 Reorder the terms: -10 + 10 + 2X + 2y = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 2X + 2y = 9 + 10 2X + 2y = 9 + 10 Combine like terms: 9 + 10 = 19 2X + 2y = 19 Add '-2y' to each side of the equation. 2X + 2y + -2y = 19 + -2y Combine like terms: 2y + -2y = 0 2X + 0 = 19 + -2y 2X = 19 + -2y Divide each side by '2'. X = 9.5 + -1y Simplifying X = 9.5 + -1y
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