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Simplifying (x + -1(-1)) * 2 + (y + -2) * 2 = 16 Multiply -1 * -1 (x + 1) * 2 + (y + -2) * 2 = 16 Reorder the terms: (1 + x) * 2 + (y + -2) * 2 = 16 Reorder the terms for easier multiplication: 2(1 + x) + (y + -2) * 2 = 16 (1 * 2 + x * 2) + (y + -2) * 2 = 16 (2 + 2x) + (y + -2) * 2 = 16 Reorder the terms: 2 + 2x + (-2 + y) * 2 = 16 Reorder the terms for easier multiplication: 2 + 2x + 2(-2 + y) = 16 2 + 2x + (-2 * 2 + y * 2) = 16 2 + 2x + (-4 + 2y) = 16 Reorder the terms: 2 + -4 + 2x + 2y = 16 Combine like terms: 2 + -4 = -2 -2 + 2x + 2y = 16 Solving -2 + 2x + 2y = 16 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 = 16 + 2 Reorder the terms: -2 + 2 + 2x + 2y = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 2x + 2y = 16 + 2 2x + 2y = 16 + 2 Combine like terms: 16 + 2 = 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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