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Simplifying (10x + y) * 2 + -1(10y + x) * 2 = 0 Reorder the terms for easier multiplication: 2(10x + y) + -1(10y + x) * 2 = 0 (10x * 2 + y * 2) + -1(10y + x) * 2 = 0 (20x + 2y) + -1(10y + x) * 2 = 0 Reorder the terms: 20x + 2y + -1(x + 10y) * 2 = 0 Reorder the terms for easier multiplication: 20x + 2y + -1 * 2(x + 10y) = 0 Multiply -1 * 2 20x + 2y + -2(x + 10y) = 0 20x + 2y + (x * -2 + 10y * -2) = 0 20x + 2y + (-2x + -20y) = 0 Reorder the terms: 20x + -2x + 2y + -20y = 0 Combine like terms: 20x + -2x = 18x 18x + 2y + -20y = 0 Combine like terms: 2y + -20y = -18y 18x + -18y = 0 Solving 18x + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18y' to each side of the equation. 18x + -18y + 18y = 0 + 18y Combine like terms: -18y + 18y = 0 18x + 0 = 0 + 18y 18x = 0 + 18y Remove the zero: 18x = 18y Divide each side by '18'. x = y Simplifying x = y
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