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Simplifying (x + -1) * 2 + (y + -1) * 2 = 100 Reorder the terms: (-1 + x) * 2 + (y + -1) * 2 = 100 Reorder the terms for easier multiplication: 2(-1 + x) + (y + -1) * 2 = 100 (-1 * 2 + x * 2) + (y + -1) * 2 = 100 (-2 + 2x) + (y + -1) * 2 = 100 Reorder the terms: -2 + 2x + (-1 + y) * 2 = 100 Reorder the terms for easier multiplication: -2 + 2x + 2(-1 + y) = 100 -2 + 2x + (-1 * 2 + y * 2) = 100 -2 + 2x + (-2 + 2y) = 100 Reorder the terms: -2 + -2 + 2x + 2y = 100 Combine like terms: -2 + -2 = -4 -4 + 2x + 2y = 100 Solving -4 + 2x + 2y = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2x + 4 + 2y = 100 + 4 Reorder the terms: -4 + 4 + 2x + 2y = 100 + 4 Combine like terms: -4 + 4 = 0 0 + 2x + 2y = 100 + 4 2x + 2y = 100 + 4 Combine like terms: 100 + 4 = 104 2x + 2y = 104 Add '-2y' to each side of the equation. 2x + 2y + -2y = 104 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 104 + -2y 2x = 104 + -2y Divide each side by '2'. x = 52 + -1y Simplifying x = 52 + -1y
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