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Simplifying 3[6x + -4(y + -3)] = 0 Reorder the terms: 3[6x + -4(-3 + y)] = 0 3[6x + (-3 * -4 + y * -4)] = 0 3[6x + (12 + -4y)] = 0 Reorder the terms: 3[12 + 6x + -4y] = 0 [12 * 3 + 6x * 3 + -4y * 3] = 0 [36 + 18x + -12y] = 0 Solving 36 + 18x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 18x + -36 + -12y = 0 + -36 Reorder the terms: 36 + -36 + 18x + -12y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 18x + -12y = 0 + -36 18x + -12y = 0 + -36 Combine like terms: 0 + -36 = -36 18x + -12y = -36 Add '12y' to each side of the equation. 18x + -12y + 12y = -36 + 12y Combine like terms: -12y + 12y = 0 18x + 0 = -36 + 12y 18x = -36 + 12y Divide each side by '18'. x = -2 + 0.6666666667y Simplifying x = -2 + 0.6666666667y
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