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Simplifying 2(4x + -5y + 6) = 0 Reorder the terms: 2(6 + 4x + -5y) = 0 (6 * 2 + 4x * 2 + -5y * 2) = 0 (12 + 8x + -10y) = 0 Solving 12 + 8x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 8x + -12 + -10y = 0 + -12 Reorder the terms: 12 + -12 + 8x + -10y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 8x + -10y = 0 + -12 8x + -10y = 0 + -12 Combine like terms: 0 + -12 = -12 8x + -10y = -12 Add '10y' to each side of the equation. 8x + -10y + 10y = -12 + 10y Combine like terms: -10y + 10y = 0 8x + 0 = -12 + 10y 8x = -12 + 10y Divide each side by '8'. x = -1.5 + 1.25y Simplifying x = -1.5 + 1.25y
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