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Simplifying (x + -8) * 2 + (y + -12) * 2 = 50 Reorder the terms: (-8 + x) * 2 + (y + -12) * 2 = 50 Reorder the terms for easier multiplication: 2(-8 + x) + (y + -12) * 2 = 50 (-8 * 2 + x * 2) + (y + -12) * 2 = 50 (-16 + 2x) + (y + -12) * 2 = 50 Reorder the terms: -16 + 2x + (-12 + y) * 2 = 50 Reorder the terms for easier multiplication: -16 + 2x + 2(-12 + y) = 50 -16 + 2x + (-12 * 2 + y * 2) = 50 -16 + 2x + (-24 + 2y) = 50 Reorder the terms: -16 + -24 + 2x + 2y = 50 Combine like terms: -16 + -24 = -40 -40 + 2x + 2y = 50 Solving -40 + 2x + 2y = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 2x + 40 + 2y = 50 + 40 Reorder the terms: -40 + 40 + 2x + 2y = 50 + 40 Combine like terms: -40 + 40 = 0 0 + 2x + 2y = 50 + 40 2x + 2y = 50 + 40 Combine like terms: 50 + 40 = 90 2x + 2y = 90 Add '-2y' to each side of the equation. 2x + 2y + -2y = 90 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 90 + -2y 2x = 90 + -2y Divide each side by '2'. x = 45 + -1y Simplifying x = 45 + -1y
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