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Simplifying (x + -6) * 2 + (y + 9) * 2 = 6 * 2 Reorder the terms: (-6 + x) * 2 + (y + 9) * 2 = 6 * 2 Reorder the terms for easier multiplication: 2(-6 + x) + (y + 9) * 2 = 6 * 2 (-6 * 2 + x * 2) + (y + 9) * 2 = 6 * 2 (-12 + 2x) + (y + 9) * 2 = 6 * 2 Reorder the terms: -12 + 2x + (9 + y) * 2 = 6 * 2 Reorder the terms for easier multiplication: -12 + 2x + 2(9 + y) = 6 * 2 -12 + 2x + (9 * 2 + y * 2) = 6 * 2 -12 + 2x + (18 + 2y) = 6 * 2 Reorder the terms: -12 + 18 + 2x + 2y = 6 * 2 Combine like terms: -12 + 18 = 6 6 + 2x + 2y = 6 * 2 Multiply 6 * 2 6 + 2x + 2y = 12 Solving 6 + 2x + 2y = 12 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 = 12 + -6 Reorder the terms: 6 + -6 + 2x + 2y = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2x + 2y = 12 + -6 2x + 2y = 12 + -6 Combine like terms: 12 + -6 = 6 2x + 2y = 6 Add '-2y' to each side of the equation. 2x + 2y + -2y = 6 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 6 + -2y 2x = 6 + -2y Divide each side by '2'. x = 3 + -1y Simplifying x = 3 + -1y
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