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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 = 111 2x + 2y = 111 Add '-2y' to each side of the equation. 2x + 2y + -2y = 111 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 111 + -2y 2x = 111 + -2y Divide each side by '2'. x = 55.5 + -1y Simplifying x = 55.5 + -1y
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