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Simplifying 2[3x + -5(y + -1)] = 0 Reorder the terms: 2[3x + -5(-1 + y)] = 0 2[3x + (-1 * -5 + y * -5)] = 0 2[3x + (5 + -5y)] = 0 Reorder the terms: 2[5 + 3x + -5y] = 0 [5 * 2 + 3x * 2 + -5y * 2] = 0 [10 + 6x + -10y] = 0 Solving 10 + 6x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 6x + -10 + -10y = 0 + -10 Reorder the terms: 10 + -10 + 6x + -10y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6x + -10y = 0 + -10 6x + -10y = 0 + -10 Combine like terms: 0 + -10 = -10 6x + -10y = -10 Add '10y' to each side of the equation. 6x + -10y + 10y = -10 + 10y Combine like terms: -10y + 10y = 0 6x + 0 = -10 + 10y 6x = -10 + 10y Divide each side by '6'. x = -1.666666667 + 1.666666667y Simplifying x = -1.666666667 + 1.666666667y
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