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Simplifying -2(x + -3y + 2) + -3(x + -2y) = 0 Reorder the terms: -2(2 + x + -3y) + -3(x + -2y) = 0 (2 * -2 + x * -2 + -3y * -2) + -3(x + -2y) = 0 (-4 + -2x + 6y) + -3(x + -2y) = 0 -4 + -2x + 6y + (x * -3 + -2y * -3) = 0 -4 + -2x + 6y + (-3x + 6y) = 0 Reorder the terms: -4 + -2x + -3x + 6y + 6y = 0 Combine like terms: -2x + -3x = -5x -4 + -5x + 6y + 6y = 0 Combine like terms: 6y + 6y = 12y -4 + -5x + 12y = 0 Solving -4 + -5x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -5x + 4 + 12y = 0 + 4 Reorder the terms: -4 + 4 + -5x + 12y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x + 12y = 0 + 4 -5x + 12y = 0 + 4 Combine like terms: 0 + 4 = 4 -5x + 12y = 4 Add '-12y' to each side of the equation. -5x + 12y + -12y = 4 + -12y Combine like terms: 12y + -12y = 0 -5x + 0 = 4 + -12y -5x = 4 + -12y Divide each side by '-5'. x = -0.8 + 2.4y Simplifying x = -0.8 + 2.4y
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