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Simplifying 3(5x + -1(7 + -6y + 2x) + 5y) = 0 Reorder the terms: 3(5x + -1(7 + 2x + -6y) + 5y) = 0 3(5x + (7 * -1 + 2x * -1 + -6y * -1) + 5y) = 0 3(5x + (-7 + -2x + 6y) + 5y) = 0 Reorder the terms: 3(-7 + 5x + -2x + 6y + 5y) = 0 Combine like terms: 5x + -2x = 3x 3(-7 + 3x + 6y + 5y) = 0 Combine like terms: 6y + 5y = 11y 3(-7 + 3x + 11y) = 0 (-7 * 3 + 3x * 3 + 11y * 3) = 0 (-21 + 9x + 33y) = 0 Solving -21 + 9x + 33y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 9x + 21 + 33y = 0 + 21 Reorder the terms: -21 + 21 + 9x + 33y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 9x + 33y = 0 + 21 9x + 33y = 0 + 21 Combine like terms: 0 + 21 = 21 9x + 33y = 21 Add '-33y' to each side of the equation. 9x + 33y + -33y = 21 + -33y Combine like terms: 33y + -33y = 0 9x + 0 = 21 + -33y 9x = 21 + -33y Divide each side by '9'. x = 2.333333333 + -3.666666667y Simplifying x = 2.333333333 + -3.666666667y
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