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Simplifying -5(4x + -2y + 6) = 0 Reorder the terms: -5(6 + 4x + -2y) = 0 (6 * -5 + 4x * -5 + -2y * -5) = 0 (-30 + -20x + 10y) = 0 Solving -30 + -20x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -20x + 30 + 10y = 0 + 30 Reorder the terms: -30 + 30 + -20x + 10y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -20x + 10y = 0 + 30 -20x + 10y = 0 + 30 Combine like terms: 0 + 30 = 30 -20x + 10y = 30 Add '-10y' to each side of the equation. -20x + 10y + -10y = 30 + -10y Combine like terms: 10y + -10y = 0 -20x + 0 = 30 + -10y -20x = 30 + -10y Divide each side by '-20'. x = -1.5 + 0.5y Simplifying x = -1.5 + 0.5y
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