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Simplifying -6(4x + -5y + 7) = 0 Reorder the terms: -6(7 + 4x + -5y) = 0 (7 * -6 + 4x * -6 + -5y * -6) = 0 (-42 + -24x + 30y) = 0 Solving -42 + -24x + 30y = 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 + -24x + 42 + 30y = 0 + 42 Reorder the terms: -42 + 42 + -24x + 30y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -24x + 30y = 0 + 42 -24x + 30y = 0 + 42 Combine like terms: 0 + 42 = 42 -24x + 30y = 42 Add '-30y' to each side of the equation. -24x + 30y + -30y = 42 + -30y Combine like terms: 30y + -30y = 0 -24x + 0 = 42 + -30y -24x = 42 + -30y Divide each side by '-24'. x = -1.75 + 1.25y Simplifying x = -1.75 + 1.25y
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