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Simplifying 3(3x + -1(6 + -5y + 7x) + 3y) = 0 Reorder the terms: 3(3x + -1(6 + 7x + -5y) + 3y) = 0 3(3x + (6 * -1 + 7x * -1 + -5y * -1) + 3y) = 0 3(3x + (-6 + -7x + 5y) + 3y) = 0 Reorder the terms: 3(-6 + 3x + -7x + 5y + 3y) = 0 Combine like terms: 3x + -7x = -4x 3(-6 + -4x + 5y + 3y) = 0 Combine like terms: 5y + 3y = 8y 3(-6 + -4x + 8y) = 0 (-6 * 3 + -4x * 3 + 8y * 3) = 0 (-18 + -12x + 24y) = 0 Solving -18 + -12x + 24y = 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 + -12x + 18 + 24y = 0 + 18 Reorder the terms: -18 + 18 + -12x + 24y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -12x + 24y = 0 + 18 -12x + 24y = 0 + 18 Combine like terms: 0 + 18 = 18 -12x + 24y = 18 Add '-24y' to each side of the equation. -12x + 24y + -24y = 18 + -24y Combine like terms: 24y + -24y = 0 -12x + 0 = 18 + -24y -12x = 18 + -24y Divide each side by '-12'. x = -1.5 + 2y Simplifying x = -1.5 + 2y
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