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Simplifying -5(2x + -9y + -7) = 0 Reorder the terms: -5(-7 + 2x + -9y) = 0 (-7 * -5 + 2x * -5 + -9y * -5) = 0 (35 + -10x + 45y) = 0 Solving 35 + -10x + 45y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -10x + -35 + 45y = 0 + -35 Reorder the terms: 35 + -35 + -10x + 45y = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -10x + 45y = 0 + -35 -10x + 45y = 0 + -35 Combine like terms: 0 + -35 = -35 -10x + 45y = -35 Add '-45y' to each side of the equation. -10x + 45y + -45y = -35 + -45y Combine like terms: 45y + -45y = 0 -10x + 0 = -35 + -45y -10x = -35 + -45y Divide each side by '-10'. x = 3.5 + 4.5y Simplifying x = 3.5 + 4.5y
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