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Simplifying 2(4x + -1(7 + -7y + 3x) + 5y) = 0 Reorder the terms: 2(4x + -1(7 + 3x + -7y) + 5y) = 0 2(4x + (7 * -1 + 3x * -1 + -7y * -1) + 5y) = 0 2(4x + (-7 + -3x + 7y) + 5y) = 0 Reorder the terms: 2(-7 + 4x + -3x + 7y + 5y) = 0 Combine like terms: 4x + -3x = 1x 2(-7 + 1x + 7y + 5y) = 0 Combine like terms: 7y + 5y = 12y 2(-7 + 1x + 12y) = 0 (-7 * 2 + 1x * 2 + 12y * 2) = 0 (-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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