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Simplifying 2[6x + -5(y + -3)] = 0 Reorder the terms: 2[6x + -5(-3 + y)] = 0 2[6x + (-3 * -5 + y * -5)] = 0 2[6x + (15 + -5y)] = 0 Reorder the terms: 2[15 + 6x + -5y] = 0 [15 * 2 + 6x * 2 + -5y * 2] = 0 [30 + 12x + -10y] = 0 Solving 30 + 12x + -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 + 12x + -30 + -10y = 0 + -30 Reorder the terms: 30 + -30 + 12x + -10y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 12x + -10y = 0 + -30 12x + -10y = 0 + -30 Combine like terms: 0 + -30 = -30 12x + -10y = -30 Add '10y' to each side of the equation. 12x + -10y + 10y = -30 + 10y Combine like terms: -10y + 10y = 0 12x + 0 = -30 + 10y 12x = -30 + 10y Divide each side by '12'. x = -2.5 + 0.8333333333y Simplifying x = -2.5 + 0.8333333333y
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