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Simplifying (x + -2) * 2 + (y + -3) * 2 = 36 Reorder the terms: (-2 + x) * 2 + (y + -3) * 2 = 36 Reorder the terms for easier multiplication: 2(-2 + x) + (y + -3) * 2 = 36 (-2 * 2 + x * 2) + (y + -3) * 2 = 36 (-4 + 2x) + (y + -3) * 2 = 36 Reorder the terms: -4 + 2x + (-3 + y) * 2 = 36 Reorder the terms for easier multiplication: -4 + 2x + 2(-3 + y) = 36 -4 + 2x + (-3 * 2 + y * 2) = 36 -4 + 2x + (-6 + 2y) = 36 Reorder the terms: -4 + -6 + 2x + 2y = 36 Combine like terms: -4 + -6 = -10 -10 + 2x + 2y = 36 Solving -10 + 2x + 2y = 36 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 = 36 + 10 Reorder the terms: -10 + 10 + 2x + 2y = 36 + 10 Combine like terms: -10 + 10 = 0 0 + 2x + 2y = 36 + 10 2x + 2y = 36 + 10 Combine like terms: 36 + 10 = 46 2x + 2y = 46 Add '-2y' to each side of the equation. 2x + 2y + -2y = 46 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 46 + -2y 2x = 46 + -2y Divide each side by '2'. x = 23 + -1y Simplifying x = 23 + -1y
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