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Simplifying 4(5x + -1(7 + -6y + 2x) + 7y) = 0 Reorder the terms: 4(5x + -1(7 + 2x + -6y) + 7y) = 0 4(5x + (7 * -1 + 2x * -1 + -6y * -1) + 7y) = 0 4(5x + (-7 + -2x + 6y) + 7y) = 0 Reorder the terms: 4(-7 + 5x + -2x + 6y + 7y) = 0 Combine like terms: 5x + -2x = 3x 4(-7 + 3x + 6y + 7y) = 0 Combine like terms: 6y + 7y = 13y 4(-7 + 3x + 13y) = 0 (-7 * 4 + 3x * 4 + 13y * 4) = 0 (-28 + 12x + 52y) = 0 Solving -28 + 12x + 52y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 12x + 28 + 52y = 0 + 28 Reorder the terms: -28 + 28 + 12x + 52y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 12x + 52y = 0 + 28 12x + 52y = 0 + 28 Combine like terms: 0 + 28 = 28 12x + 52y = 28 Add '-52y' to each side of the equation. 12x + 52y + -52y = 28 + -52y Combine like terms: 52y + -52y = 0 12x + 0 = 28 + -52y 12x = 28 + -52y Divide each side by '12'. x = 2.333333333 + -4.333333333y Simplifying x = 2.333333333 + -4.333333333y
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