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Simplifying 3x + 2y + -1(x + 1) + 5(2y + -1) = 0 Reorder the terms: 3x + 2y + -1(1 + x) + 5(2y + -1) = 0 3x + 2y + (1 * -1 + x * -1) + 5(2y + -1) = 0 3x + 2y + (-1 + -1x) + 5(2y + -1) = 0 Reorder the terms: 3x + 2y + -1 + -1x + 5(-1 + 2y) = 0 3x + 2y + -1 + -1x + (-1 * 5 + 2y * 5) = 0 3x + 2y + -1 + -1x + (-5 + 10y) = 0 Reorder the terms: -1 + -5 + 3x + -1x + 2y + 10y = 0 Combine like terms: -1 + -5 = -6 -6 + 3x + -1x + 2y + 10y = 0 Combine like terms: 3x + -1x = 2x -6 + 2x + 2y + 10y = 0 Combine like terms: 2y + 10y = 12y -6 + 2x + 12y = 0 Solving -6 + 2x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2x + 6 + 12y = 0 + 6 Reorder the terms: -6 + 6 + 2x + 12y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2x + 12y = 0 + 6 2x + 12y = 0 + 6 Combine like terms: 0 + 6 = 6 2x + 12y = 6 Add '-12y' to each side of the equation. 2x + 12y + -12y = 6 + -12y Combine like terms: 12y + -12y = 0 2x + 0 = 6 + -12y 2x = 6 + -12y Divide each side by '2'. x = 3 + -6y Simplifying x = 3 + -6y
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