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Simplifying (x + -2) * 2 + (y + -2) * 2 = (5) * 2 Reorder the terms: (-2 + x) * 2 + (y + -2) * 2 = (5) * 2 Reorder the terms for easier multiplication: 2(-2 + x) + (y + -2) * 2 = (5) * 2 (-2 * 2 + x * 2) + (y + -2) * 2 = (5) * 2 (-4 + 2x) + (y + -2) * 2 = (5) * 2 Reorder the terms: -4 + 2x + (-2 + y) * 2 = (5) * 2 Reorder the terms for easier multiplication: -4 + 2x + 2(-2 + y) = (5) * 2 -4 + 2x + (-2 * 2 + y * 2) = (5) * 2 -4 + 2x + (-4 + 2y) = (5) * 2 Reorder the terms: -4 + -4 + 2x + 2y = (5) * 2 Combine like terms: -4 + -4 = -8 -8 + 2x + 2y = (5) * 2 Multiply 5 * 2 -8 + 2x + 2y = 10 Solving -8 + 2x + 2y = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 2x + 8 + 2y = 10 + 8 Reorder the terms: -8 + 8 + 2x + 2y = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2x + 2y = 10 + 8 2x + 2y = 10 + 8 Combine like terms: 10 + 8 = 18 2x + 2y = 18 Add '-2y' to each side of the equation. 2x + 2y + -2y = 18 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 18 + -2y 2x = 18 + -2y Divide each side by '2'. x = 9 + -1y Simplifying x = 9 + -1y
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