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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 = -2 -2 + 2x + 2y = 36 Solving -2 + 2x + 2y = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2x + 2 + 2y = 36 + 2 Reorder the terms: -2 + 2 + 2x + 2y = 36 + 2 Combine like terms: -2 + 2 = 0 0 + 2x + 2y = 36 + 2 2x + 2y = 36 + 2 Combine like terms: 36 + 2 = 38 2x + 2y = 38 Add '-2y' to each side of the equation. 2x + 2y + -2y = 38 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 38 + -2y 2x = 38 + -2y Divide each side by '2'. x = 19 + -1y Simplifying x = 19 + -1y
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