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Simplifying -7(5x + -3y + 6) = 0 Reorder the terms: -7(6 + 5x + -3y) = 0 (6 * -7 + 5x * -7 + -3y * -7) = 0 (-42 + -35x + 21y) = 0 Solving -42 + -35x + 21y = 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 + -35x + 42 + 21y = 0 + 42 Reorder the terms: -42 + 42 + -35x + 21y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -35x + 21y = 0 + 42 -35x + 21y = 0 + 42 Combine like terms: 0 + 42 = 42 -35x + 21y = 42 Add '-21y' to each side of the equation. -35x + 21y + -21y = 42 + -21y Combine like terms: 21y + -21y = 0 -35x + 0 = 42 + -21y -35x = 42 + -21y Divide each side by '-35'. x = -1.2 + 0.6y Simplifying x = -1.2 + 0.6y
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