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Simplifying (x + -1) * 2 + (y + -2) * 2 = 49 Reorder the terms: (-1 + x) * 2 + (y + -2) * 2 = 49 Reorder the terms for easier multiplication: 2(-1 + x) + (y + -2) * 2 = 49 (-1 * 2 + x * 2) + (y + -2) * 2 = 49 (-2 + 2x) + (y + -2) * 2 = 49 Reorder the terms: -2 + 2x + (-2 + y) * 2 = 49 Reorder the terms for easier multiplication: -2 + 2x + 2(-2 + y) = 49 -2 + 2x + (-2 * 2 + y * 2) = 49 -2 + 2x + (-4 + 2y) = 49 Reorder the terms: -2 + -4 + 2x + 2y = 49 Combine like terms: -2 + -4 = -6 -6 + 2x + 2y = 49 Solving -6 + 2x + 2y = 49 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 = 49 + 6 Reorder the terms: -6 + 6 + 2x + 2y = 49 + 6 Combine like terms: -6 + 6 = 0 0 + 2x + 2y = 49 + 6 2x + 2y = 49 + 6 Combine like terms: 49 + 6 = 55 2x + 2y = 55 Add '-2y' to each side of the equation. 2x + 2y + -2y = 55 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 55 + -2y 2x = 55 + -2y Divide each side by '2'. x = 27.5 + -1y Simplifying x = 27.5 + -1y
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