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Simplifying -5(4x + -2y + 7) = 0 Reorder the terms: -5(7 + 4x + -2y) = 0 (7 * -5 + 4x * -5 + -2y * -5) = 0 (-35 + -20x + 10y) = 0 Solving -35 + -20x + 10y = 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 + -20x + 35 + 10y = 0 + 35 Reorder the terms: -35 + 35 + -20x + 10y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -20x + 10y = 0 + 35 -20x + 10y = 0 + 35 Combine like terms: 0 + 35 = 35 -20x + 10y = 35 Add '-10y' to each side of the equation. -20x + 10y + -10y = 35 + -10y Combine like terms: 10y + -10y = 0 -20x + 0 = 35 + -10y -20x = 35 + -10y Divide each side by '-20'. x = -1.75 + 0.5y Simplifying x = -1.75 + 0.5y
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