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Simplifying (x + -12) * 2 + (y + -11) * 2 = 49 Reorder the terms: (-12 + x) * 2 + (y + -11) * 2 = 49 Reorder the terms for easier multiplication: 2(-12 + x) + (y + -11) * 2 = 49 (-12 * 2 + x * 2) + (y + -11) * 2 = 49 (-24 + 2x) + (y + -11) * 2 = 49 Reorder the terms: -24 + 2x + (-11 + y) * 2 = 49 Reorder the terms for easier multiplication: -24 + 2x + 2(-11 + y) = 49 -24 + 2x + (-11 * 2 + y * 2) = 49 -24 + 2x + (-22 + 2y) = 49 Reorder the terms: -24 + -22 + 2x + 2y = 49 Combine like terms: -24 + -22 = -46 -46 + 2x + 2y = 49 Solving -46 + 2x + 2y = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 2x + 46 + 2y = 49 + 46 Reorder the terms: -46 + 46 + 2x + 2y = 49 + 46 Combine like terms: -46 + 46 = 0 0 + 2x + 2y = 49 + 46 2x + 2y = 49 + 46 Combine like terms: 49 + 46 = 95 2x + 2y = 95 Add '-2y' to each side of the equation. 2x + 2y + -2y = 95 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 95 + -2y 2x = 95 + -2y Divide each side by '2'. x = 47.5 + -1y Simplifying x = 47.5 + -1y
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