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Simplifying -7(3x + -4y + 6) = 0 Reorder the terms: -7(6 + 3x + -4y) = 0 (6 * -7 + 3x * -7 + -4y * -7) = 0 (-42 + -21x + 28y) = 0 Solving -42 + -21x + 28y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + -21x + 42 + 28y = 0 + 42 Reorder the terms: -42 + 42 + -21x + 28y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -21x + 28y = 0 + 42 -21x + 28y = 0 + 42 Combine like terms: 0 + 42 = 42 -21x + 28y = 42 Add '-28y' to each side of the equation. -21x + 28y + -28y = 42 + -28y Combine like terms: 28y + -28y = 0 -21x + 0 = 42 + -28y -21x = 42 + -28y Divide each side by '-21'. x = -2 + 1.333333333y Simplifying x = -2 + 1.333333333y
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