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Simplifying (x + -2) * 2 + (y + 3) * 2 = 6 Reorder the terms: (-2 + x) * 2 + (y + 3) * 2 = 6 Reorder the terms for easier multiplication: 2(-2 + x) + (y + 3) * 2 = 6 (-2 * 2 + x * 2) + (y + 3) * 2 = 6 (-4 + 2x) + (y + 3) * 2 = 6 Reorder the terms: -4 + 2x + (3 + y) * 2 = 6 Reorder the terms for easier multiplication: -4 + 2x + 2(3 + y) = 6 -4 + 2x + (3 * 2 + y * 2) = 6 -4 + 2x + (6 + 2y) = 6 Reorder the terms: -4 + 6 + 2x + 2y = 6 Combine like terms: -4 + 6 = 2 2 + 2x + 2y = 6 Solving 2 + 2x + 2y = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2x + -2 + 2y = 6 + -2 Reorder the terms: 2 + -2 + 2x + 2y = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + 2y = 6 + -2 2x + 2y = 6 + -2 Combine like terms: 6 + -2 = 4 2x + 2y = 4 Add '-2y' to each side of the equation. 2x + 2y + -2y = 4 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 4 + -2y 2x = 4 + -2y Divide each side by '2'. x = 2 + -1y Simplifying x = 2 + -1y
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