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Simplifying (3x + -1y) * 2 + (x + -5) * 2 = 0 Reorder the terms for easier multiplication: 2(3x + -1y) + (x + -5) * 2 = 0 (3x * 2 + -1y * 2) + (x + -5) * 2 = 0 (6x + -2y) + (x + -5) * 2 = 0 Reorder the terms: 6x + -2y + (-5 + x) * 2 = 0 Reorder the terms for easier multiplication: 6x + -2y + 2(-5 + x) = 0 6x + -2y + (-5 * 2 + x * 2) = 0 6x + -2y + (-10 + 2x) = 0 Reorder the terms: -10 + 6x + 2x + -2y = 0 Combine like terms: 6x + 2x = 8x -10 + 8x + -2y = 0 Solving -10 + 8x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 8x + 10 + -2y = 0 + 10 Reorder the terms: -10 + 10 + 8x + -2y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 8x + -2y = 0 + 10 8x + -2y = 0 + 10 Combine like terms: 0 + 10 = 10 8x + -2y = 10 Add '2y' to each side of the equation. 8x + -2y + 2y = 10 + 2y Combine like terms: -2y + 2y = 0 8x + 0 = 10 + 2y 8x = 10 + 2y Divide each side by '8'. x = 1.25 + 0.25y Simplifying x = 1.25 + 0.25y
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