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Simplifying 2(5 + -1y + 1) + -1(3y + 2x) = 0 Reorder the terms: 2(5 + 1 + -1y) + -1(3y + 2x) = 0 Combine like terms: 5 + 1 = 6 2(6 + -1y) + -1(3y + 2x) = 0 (6 * 2 + -1y * 2) + -1(3y + 2x) = 0 (12 + -2y) + -1(3y + 2x) = 0 Reorder the terms: 12 + -2y + -1(2x + 3y) = 0 12 + -2y + (2x * -1 + 3y * -1) = 0 12 + -2y + (-2x + -3y) = 0 Reorder the terms: 12 + -2x + -2y + -3y = 0 Combine like terms: -2y + -3y = -5y 12 + -2x + -5y = 0 Solving 12 + -2x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -2x + -12 + -5y = 0 + -12 Reorder the terms: 12 + -12 + -2x + -5y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2x + -5y = 0 + -12 -2x + -5y = 0 + -12 Combine like terms: 0 + -12 = -12 -2x + -5y = -12 Add '5y' to each side of the equation. -2x + -5y + 5y = -12 + 5y Combine like terms: -5y + 5y = 0 -2x + 0 = -12 + 5y -2x = -12 + 5y Divide each side by '-2'. x = 6 + -2.5y Simplifying x = 6 + -2.5y
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