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Simplifying -6(5x + -3y + 7) = 0 Reorder the terms: -6(7 + 5x + -3y) = 0 (7 * -6 + 5x * -6 + -3y * -6) = 0 (-42 + -30x + 18y) = 0 Solving -42 + -30x + 18y = 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 + -30x + 42 + 18y = 0 + 42 Reorder the terms: -42 + 42 + -30x + 18y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -30x + 18y = 0 + 42 -30x + 18y = 0 + 42 Combine like terms: 0 + 42 = 42 -30x + 18y = 42 Add '-18y' to each side of the equation. -30x + 18y + -18y = 42 + -18y Combine like terms: 18y + -18y = 0 -30x + 0 = 42 + -18y -30x = 42 + -18y Divide each side by '-30'. x = -1.4 + 0.6y Simplifying x = -1.4 + 0.6y
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