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Simplifying 3[4x + -5(y + -3)] = 0 Reorder the terms: 3[4x + -5(-3 + y)] = 0 3[4x + (-3 * -5 + y * -5)] = 0 3[4x + (15 + -5y)] = 0 Reorder the terms: 3[15 + 4x + -5y] = 0 [15 * 3 + 4x * 3 + -5y * 3] = 0 [45 + 12x + -15y] = 0 Solving 45 + 12x + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + 12x + -45 + -15y = 0 + -45 Reorder the terms: 45 + -45 + 12x + -15y = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 12x + -15y = 0 + -45 12x + -15y = 0 + -45 Combine like terms: 0 + -45 = -45 12x + -15y = -45 Add '15y' to each side of the equation. 12x + -15y + 15y = -45 + 15y Combine like terms: -15y + 15y = 0 12x + 0 = -45 + 15y 12x = -45 + 15y Divide each side by '12'. x = -3.75 + 1.25y Simplifying x = -3.75 + 1.25y
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