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Simplifying (x + -7) * 2 + (y + 4) * 2 = 121 Reorder the terms: (-7 + x) * 2 + (y + 4) * 2 = 121 Reorder the terms for easier multiplication: 2(-7 + x) + (y + 4) * 2 = 121 (-7 * 2 + x * 2) + (y + 4) * 2 = 121 (-14 + 2x) + (y + 4) * 2 = 121 Reorder the terms: -14 + 2x + (4 + y) * 2 = 121 Reorder the terms for easier multiplication: -14 + 2x + 2(4 + y) = 121 -14 + 2x + (4 * 2 + y * 2) = 121 -14 + 2x + (8 + 2y) = 121 Reorder the terms: -14 + 8 + 2x + 2y = 121 Combine like terms: -14 + 8 = -6 -6 + 2x + 2y = 121 Solving -6 + 2x + 2y = 121 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2x + 6 + 2y = 121 + 6 Reorder the terms: -6 + 6 + 2x + 2y = 121 + 6 Combine like terms: -6 + 6 = 0 0 + 2x + 2y = 121 + 6 2x + 2y = 121 + 6 Combine like terms: 121 + 6 = 127 2x + 2y = 127 Add '-2y' to each side of the equation. 2x + 2y + -2y = 127 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 127 + -2y 2x = 127 + -2y Divide each side by '2'. x = 63.5 + -1y Simplifying x = 63.5 + -1y
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