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Simplifying (x + -6) * 2 + (y + -2) * 2 = 9 Reorder the terms: (-6 + x) * 2 + (y + -2) * 2 = 9 Reorder the terms for easier multiplication: 2(-6 + x) + (y + -2) * 2 = 9 (-6 * 2 + x * 2) + (y + -2) * 2 = 9 (-12 + 2x) + (y + -2) * 2 = 9 Reorder the terms: -12 + 2x + (-2 + y) * 2 = 9 Reorder the terms for easier multiplication: -12 + 2x + 2(-2 + y) = 9 -12 + 2x + (-2 * 2 + y * 2) = 9 -12 + 2x + (-4 + 2y) = 9 Reorder the terms: -12 + -4 + 2x + 2y = 9 Combine like terms: -12 + -4 = -16 -16 + 2x + 2y = 9 Solving -16 + 2x + 2y = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 2x + 16 + 2y = 9 + 16 Reorder the terms: -16 + 16 + 2x + 2y = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 2x + 2y = 9 + 16 2x + 2y = 9 + 16 Combine like terms: 9 + 16 = 25 2x + 2y = 25 Add '-2y' to each side of the equation. 2x + 2y + -2y = 25 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 25 + -2y 2x = 25 + -2y Divide each side by '2'. x = 12.5 + -1y Simplifying x = 12.5 + -1y
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