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Simplifying 2(4x + -1(7 + -6y + 6x) + 6y) = 0 Reorder the terms: 2(4x + -1(7 + 6x + -6y) + 6y) = 0 2(4x + (7 * -1 + 6x * -1 + -6y * -1) + 6y) = 0 2(4x + (-7 + -6x + 6y) + 6y) = 0 Reorder the terms: 2(-7 + 4x + -6x + 6y + 6y) = 0 Combine like terms: 4x + -6x = -2x 2(-7 + -2x + 6y + 6y) = 0 Combine like terms: 6y + 6y = 12y 2(-7 + -2x + 12y) = 0 (-7 * 2 + -2x * 2 + 12y * 2) = 0 (-14 + -4x + 24y) = 0 Solving -14 + -4x + 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 + -4x + 14 + 24y = 0 + 14 Reorder the terms: -14 + 14 + -4x + 24y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -4x + 24y = 0 + 14 -4x + 24y = 0 + 14 Combine like terms: 0 + 14 = 14 -4x + 24y = 14 Add '-24y' to each side of the equation. -4x + 24y + -24y = 14 + -24y Combine like terms: 24y + -24y = 0 -4x + 0 = 14 + -24y -4x = 14 + -24y Divide each side by '-4'. x = -3.5 + 6y Simplifying x = -3.5 + 6y
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