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Simplifying -5(6x + -7y + 1) = 0 Reorder the terms: -5(1 + 6x + -7y) = 0 (1 * -5 + 6x * -5 + -7y * -5) = 0 (-5 + -30x + 35y) = 0 Solving -5 + -30x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -30x + 5 + 35y = 0 + 5 Reorder the terms: -5 + 5 + -30x + 35y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -30x + 35y = 0 + 5 -30x + 35y = 0 + 5 Combine like terms: 0 + 5 = 5 -30x + 35y = 5 Add '-35y' to each side of the equation. -30x + 35y + -35y = 5 + -35y Combine like terms: 35y + -35y = 0 -30x + 0 = 5 + -35y -30x = 5 + -35y Divide each side by '-30'. x = -0.1666666667 + 1.166666667y Simplifying x = -0.1666666667 + 1.166666667y
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