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Simplifying -6(3x + -4y + 7) = 0 Reorder the terms: -6(7 + 3x + -4y) = 0 (7 * -6 + 3x * -6 + -4y * -6) = 0 (-42 + -18x + 24y) = 0 Solving -42 + -18x + 24y = 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 + -18x + 42 + 24y = 0 + 42 Reorder the terms: -42 + 42 + -18x + 24y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -18x + 24y = 0 + 42 -18x + 24y = 0 + 42 Combine like terms: 0 + 42 = 42 -18x + 24y = 42 Add '-24y' to each side of the equation. -18x + 24y + -24y = 42 + -24y Combine like terms: 24y + -24y = 0 -18x + 0 = 42 + -24y -18x = 42 + -24y Divide each side by '-18'. x = -2.333333333 + 1.333333333y Simplifying x = -2.333333333 + 1.333333333y
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