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Simplifying x2 + 16x + y2 + 32y + 320 = x2 + 18x + y2 + -18y + 162 Reorder the terms: 320 + 16x + x2 + 32y + y2 = x2 + 18x + y2 + -18y + 162 Reorder the terms: 320 + 16x + x2 + 32y + y2 = 162 + 18x + x2 + -18y + y2 Add '-1x2' to each side of the equation. 320 + 16x + x2 + 32y + -1x2 + y2 = 162 + 18x + x2 + -18y + -1x2 + y2 Reorder the terms: 320 + 16x + x2 + -1x2 + 32y + y2 = 162 + 18x + x2 + -18y + -1x2 + y2 Combine like terms: x2 + -1x2 = 0 320 + 16x + 0 + 32y + y2 = 162 + 18x + x2 + -18y + -1x2 + y2 320 + 16x + 32y + y2 = 162 + 18x + x2 + -18y + -1x2 + y2 Reorder the terms: 320 + 16x + 32y + y2 = 162 + 18x + x2 + -1x2 + -18y + y2 Combine like terms: x2 + -1x2 = 0 320 + 16x + 32y + y2 = 162 + 18x + 0 + -18y + y2 320 + 16x + 32y + y2 = 162 + 18x + -18y + y2 Add '-1y2' to each side of the equation. 320 + 16x + 32y + y2 + -1y2 = 162 + 18x + -18y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 320 + 16x + 32y + 0 = 162 + 18x + -18y + y2 + -1y2 320 + 16x + 32y = 162 + 18x + -18y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 320 + 16x + 32y = 162 + 18x + -18y + 0 320 + 16x + 32y = 162 + 18x + -18y Solving 320 + 16x + 32y = 162 + 18x + -18y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 320 + 16x + -18x + 32y = 162 + 18x + -18x + -18y Combine like terms: 16x + -18x = -2x 320 + -2x + 32y = 162 + 18x + -18x + -18y Combine like terms: 18x + -18x = 0 320 + -2x + 32y = 162 + 0 + -18y 320 + -2x + 32y = 162 + -18y Add '-320' to each side of the equation. 320 + -2x + -320 + 32y = 162 + -320 + -18y Reorder the terms: 320 + -320 + -2x + 32y = 162 + -320 + -18y Combine like terms: 320 + -320 = 0 0 + -2x + 32y = 162 + -320 + -18y -2x + 32y = 162 + -320 + -18y Combine like terms: 162 + -320 = -158 -2x + 32y = -158 + -18y Add '-32y' to each side of the equation. -2x + 32y + -32y = -158 + -18y + -32y Combine like terms: 32y + -32y = 0 -2x + 0 = -158 + -18y + -32y -2x = -158 + -18y + -32y Combine like terms: -18y + -32y = -50y -2x = -158 + -50y Divide each side by '-2'. x = 79 + 25y Simplifying x = 79 + 25y
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