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Simplifying (6x + -4y + 8) + -2(-6x + 4y + -8) = 0 Reorder the terms: (8 + 6x + -4y) + -2(-6x + 4y + -8) = 0 Remove parenthesis around (8 + 6x + -4y) 8 + 6x + -4y + -2(-6x + 4y + -8) = 0 Reorder the terms: 8 + 6x + -4y + -2(-8 + -6x + 4y) = 0 8 + 6x + -4y + (-8 * -2 + -6x * -2 + 4y * -2) = 0 8 + 6x + -4y + (16 + 12x + -8y) = 0 Reorder the terms: 8 + 16 + 6x + 12x + -4y + -8y = 0 Combine like terms: 8 + 16 = 24 24 + 6x + 12x + -4y + -8y = 0 Combine like terms: 6x + 12x = 18x 24 + 18x + -4y + -8y = 0 Combine like terms: -4y + -8y = -12y 24 + 18x + -12y = 0 Solving 24 + 18x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 18x + -24 + -12y = 0 + -24 Reorder the terms: 24 + -24 + 18x + -12y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 18x + -12y = 0 + -24 18x + -12y = 0 + -24 Combine like terms: 0 + -24 = -24 18x + -12y = -24 Add '12y' to each side of the equation. 18x + -12y + 12y = -24 + 12y Combine like terms: -12y + 12y = 0 18x + 0 = -24 + 12y 18x = -24 + 12y Divide each side by '18'. x = -1.333333333 + 0.6666666667y Simplifying x = -1.333333333 + 0.6666666667y
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