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Simplifying (x + -16) * 2 + (y + -38) * 2 = 16 Reorder the terms: (-16 + x) * 2 + (y + -38) * 2 = 16 Reorder the terms for easier multiplication: 2(-16 + x) + (y + -38) * 2 = 16 (-16 * 2 + x * 2) + (y + -38) * 2 = 16 (-32 + 2x) + (y + -38) * 2 = 16 Reorder the terms: -32 + 2x + (-38 + y) * 2 = 16 Reorder the terms for easier multiplication: -32 + 2x + 2(-38 + y) = 16 -32 + 2x + (-38 * 2 + y * 2) = 16 -32 + 2x + (-76 + 2y) = 16 Reorder the terms: -32 + -76 + 2x + 2y = 16 Combine like terms: -32 + -76 = -108 -108 + 2x + 2y = 16 Solving -108 + 2x + 2y = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '108' to each side of the equation. -108 + 2x + 108 + 2y = 16 + 108 Reorder the terms: -108 + 108 + 2x + 2y = 16 + 108 Combine like terms: -108 + 108 = 0 0 + 2x + 2y = 16 + 108 2x + 2y = 16 + 108 Combine like terms: 16 + 108 = 124 2x + 2y = 124 Add '-2y' to each side of the equation. 2x + 2y + -2y = 124 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 124 + -2y 2x = 124 + -2y Divide each side by '2'. x = 62 + -1y Simplifying x = 62 + -1y
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