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Simplifying 3(2x + -1(6 + -5y + 5x) + 7y) = 0 Reorder the terms: 3(2x + -1(6 + 5x + -5y) + 7y) = 0 3(2x + (6 * -1 + 5x * -1 + -5y * -1) + 7y) = 0 3(2x + (-6 + -5x + 5y) + 7y) = 0 Reorder the terms: 3(-6 + 2x + -5x + 5y + 7y) = 0 Combine like terms: 2x + -5x = -3x 3(-6 + -3x + 5y + 7y) = 0 Combine like terms: 5y + 7y = 12y 3(-6 + -3x + 12y) = 0 (-6 * 3 + -3x * 3 + 12y * 3) = 0 (-18 + -9x + 36y) = 0 Solving -18 + -9x + 36y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -9x + 18 + 36y = 0 + 18 Reorder the terms: -18 + 18 + -9x + 36y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -9x + 36y = 0 + 18 -9x + 36y = 0 + 18 Combine like terms: 0 + 18 = 18 -9x + 36y = 18 Add '-36y' to each side of the equation. -9x + 36y + -36y = 18 + -36y Combine like terms: 36y + -36y = 0 -9x + 0 = 18 + -36y -9x = 18 + -36y Divide each side by '-9'. x = -2 + 4y Simplifying x = -2 + 4y
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