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Simplifying (X + -4) * 2 + (y + -8) * 2 = (11) * 2 Reorder the terms: (-4 + X) * 2 + (y + -8) * 2 = (11) * 2 Reorder the terms for easier multiplication: 2(-4 + X) + (y + -8) * 2 = (11) * 2 (-4 * 2 + X * 2) + (y + -8) * 2 = (11) * 2 (-8 + 2X) + (y + -8) * 2 = (11) * 2 Reorder the terms: -8 + 2X + (-8 + y) * 2 = (11) * 2 Reorder the terms for easier multiplication: -8 + 2X + 2(-8 + y) = (11) * 2 -8 + 2X + (-8 * 2 + y * 2) = (11) * 2 -8 + 2X + (-16 + 2y) = (11) * 2 Reorder the terms: -8 + -16 + 2X + 2y = (11) * 2 Combine like terms: -8 + -16 = -24 -24 + 2X + 2y = (11) * 2 Multiply 11 * 2 -24 + 2X + 2y = 22 Solving -24 + 2X + 2y = 22 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 2X + 24 + 2y = 22 + 24 Reorder the terms: -24 + 24 + 2X + 2y = 22 + 24 Combine like terms: -24 + 24 = 0 0 + 2X + 2y = 22 + 24 2X + 2y = 22 + 24 Combine like terms: 22 + 24 = 46 2X + 2y = 46 Add '-2y' to each side of the equation. 2X + 2y + -2y = 46 + -2y Combine like terms: 2y + -2y = 0 2X + 0 = 46 + -2y 2X = 46 + -2y Divide each side by '2'. X = 23 + -1y Simplifying X = 23 + -1y
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