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Simplifying (4x + -12y + -8) + -1(6x + 12y + 6) = 0 Reorder the terms: (-8 + 4x + -12y) + -1(6x + 12y + 6) = 0 Remove parenthesis around (-8 + 4x + -12y) -8 + 4x + -12y + -1(6x + 12y + 6) = 0 Reorder the terms: -8 + 4x + -12y + -1(6 + 6x + 12y) = 0 -8 + 4x + -12y + (6 * -1 + 6x * -1 + 12y * -1) = 0 -8 + 4x + -12y + (-6 + -6x + -12y) = 0 Reorder the terms: -8 + -6 + 4x + -6x + -12y + -12y = 0 Combine like terms: -8 + -6 = -14 -14 + 4x + -6x + -12y + -12y = 0 Combine like terms: 4x + -6x = -2x -14 + -2x + -12y + -12y = 0 Combine like terms: -12y + -12y = -24y -14 + -2x + -24y = 0 Solving -14 + -2x + -24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -2x + 14 + -24y = 0 + 14 Reorder the terms: -14 + 14 + -2x + -24y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -2x + -24y = 0 + 14 -2x + -24y = 0 + 14 Combine like terms: 0 + 14 = 14 -2x + -24y = 14 Add '24y' to each side of the equation. -2x + -24y + 24y = 14 + 24y Combine like terms: -24y + 24y = 0 -2x + 0 = 14 + 24y -2x = 14 + 24y Divide each side by '-2'. x = -7 + -12y Simplifying x = -7 + -12y
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