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Simplifying (3x + -4y + 2) + -2(-3x + 4y + -2) = 0 Reorder the terms: (2 + 3x + -4y) + -2(-3x + 4y + -2) = 0 Remove parenthesis around (2 + 3x + -4y) 2 + 3x + -4y + -2(-3x + 4y + -2) = 0 Reorder the terms: 2 + 3x + -4y + -2(-2 + -3x + 4y) = 0 2 + 3x + -4y + (-2 * -2 + -3x * -2 + 4y * -2) = 0 2 + 3x + -4y + (4 + 6x + -8y) = 0 Reorder the terms: 2 + 4 + 3x + 6x + -4y + -8y = 0 Combine like terms: 2 + 4 = 6 6 + 3x + 6x + -4y + -8y = 0 Combine like terms: 3x + 6x = 9x 6 + 9x + -4y + -8y = 0 Combine like terms: -4y + -8y = -12y 6 + 9x + -12y = 0 Solving 6 + 9x + -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 + 9x + -6 + -12y = 0 + -6 Reorder the terms: 6 + -6 + 9x + -12y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9x + -12y = 0 + -6 9x + -12y = 0 + -6 Combine like terms: 0 + -6 = -6 9x + -12y = -6 Add '12y' to each side of the equation. 9x + -12y + 12y = -6 + 12y Combine like terms: -12y + 12y = 0 9x + 0 = -6 + 12y 9x = -6 + 12y Divide each side by '9'. x = -0.6666666667 + 1.333333333y Simplifying x = -0.6666666667 + 1.333333333y
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