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Simplifying 2[4x + -5(y + -2)] = 0 Reorder the terms: 2[4x + -5(-2 + y)] = 0 2[4x + (-2 * -5 + y * -5)] = 0 2[4x + (10 + -5y)] = 0 Reorder the terms: 2[10 + 4x + -5y] = 0 [10 * 2 + 4x * 2 + -5y * 2] = 0 [20 + 8x + -10y] = 0 Solving 20 + 8x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 8x + -20 + -10y = 0 + -20 Reorder the terms: 20 + -20 + 8x + -10y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 8x + -10y = 0 + -20 8x + -10y = 0 + -20 Combine like terms: 0 + -20 = -20 8x + -10y = -20 Add '10y' to each side of the equation. 8x + -10y + 10y = -20 + 10y Combine like terms: -10y + 10y = 0 8x + 0 = -20 + 10y 8x = -20 + 10y Divide each side by '8'. x = -2.5 + 1.25y Simplifying x = -2.5 + 1.25y
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