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Simplifying 2(4x + -5(y + -3)) = 0 Reorder the terms: 2(4x + -5(-3 + y)) = 0 2(4x + (-3 * -5 + y * -5)) = 0 2(4x + (15 + -5y)) = 0 Reorder the terms: 2(15 + 4x + -5y) = 0 (15 * 2 + 4x * 2 + -5y * 2) = 0 (30 + 8x + -10y) = 0 Solving 30 + 8x + -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 + 8x + -30 + -10y = 0 + -30 Reorder the terms: 30 + -30 + 8x + -10y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 8x + -10y = 0 + -30 8x + -10y = 0 + -30 Combine like terms: 0 + -30 = -30 8x + -10y = -30 Add '10y' to each side of the equation. 8x + -10y + 10y = -30 + 10y Combine like terms: -10y + 10y = 0 8x + 0 = -30 + 10y 8x = -30 + 10y Divide each side by '8'. x = -3.75 + 1.25y Simplifying x = -3.75 + 1.25y
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