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Simplifying (x + 5) * 2 + (y + -10) * 2 = 121 Reorder the terms: (5 + x) * 2 + (y + -10) * 2 = 121 Reorder the terms for easier multiplication: 2(5 + x) + (y + -10) * 2 = 121 (5 * 2 + x * 2) + (y + -10) * 2 = 121 (10 + 2x) + (y + -10) * 2 = 121 Reorder the terms: 10 + 2x + (-10 + y) * 2 = 121 Reorder the terms for easier multiplication: 10 + 2x + 2(-10 + y) = 121 10 + 2x + (-10 * 2 + y * 2) = 121 10 + 2x + (-20 + 2y) = 121 Reorder the terms: 10 + -20 + 2x + 2y = 121 Combine like terms: 10 + -20 = -10 -10 + 2x + 2y = 121 Solving -10 + 2x + 2y = 121 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 = 121 + 10 Reorder the terms: -10 + 10 + 2x + 2y = 121 + 10 Combine like terms: -10 + 10 = 0 0 + 2x + 2y = 121 + 10 2x + 2y = 121 + 10 Combine like terms: 121 + 10 = 131 2x + 2y = 131 Add '-2y' to each side of the equation. 2x + 2y + -2y = 131 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 131 + -2y 2x = 131 + -2y Divide each side by '2'. x = 65.5 + -1y Simplifying x = 65.5 + -1y
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