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Simplifying 7(3x + -1(4 + -2y + 6x) + 3y) = 0 Reorder the terms: 7(3x + -1(4 + 6x + -2y) + 3y) = 0 7(3x + (4 * -1 + 6x * -1 + -2y * -1) + 3y) = 0 7(3x + (-4 + -6x + 2y) + 3y) = 0 Reorder the terms: 7(-4 + 3x + -6x + 2y + 3y) = 0 Combine like terms: 3x + -6x = -3x 7(-4 + -3x + 2y + 3y) = 0 Combine like terms: 2y + 3y = 5y 7(-4 + -3x + 5y) = 0 (-4 * 7 + -3x * 7 + 5y * 7) = 0 (-28 + -21x + 35y) = 0 Solving -28 + -21x + 35y = 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 + -21x + 28 + 35y = 0 + 28 Reorder the terms: -28 + 28 + -21x + 35y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -21x + 35y = 0 + 28 -21x + 35y = 0 + 28 Combine like terms: 0 + 28 = 28 -21x + 35y = 28 Add '-35y' to each side of the equation. -21x + 35y + -35y = 28 + -35y Combine like terms: 35y + -35y = 0 -21x + 0 = 28 + -35y -21x = 28 + -35y Divide each side by '-21'. x = -1.333333333 + 1.666666667y Simplifying x = -1.333333333 + 1.666666667y
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