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Simplifying 4[6x + -3(y + -3)] = 0 Reorder the terms: 4[6x + -3(-3 + y)] = 0 4[6x + (-3 * -3 + y * -3)] = 0 4[6x + (9 + -3y)] = 0 Reorder the terms: 4[9 + 6x + -3y] = 0 [9 * 4 + 6x * 4 + -3y * 4] = 0 [36 + 24x + -12y] = 0 Solving 36 + 24x + -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 + 24x + -36 + -12y = 0 + -36 Reorder the terms: 36 + -36 + 24x + -12y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 24x + -12y = 0 + -36 24x + -12y = 0 + -36 Combine like terms: 0 + -36 = -36 24x + -12y = -36 Add '12y' to each side of the equation. 24x + -12y + 12y = -36 + 12y Combine like terms: -12y + 12y = 0 24x + 0 = -36 + 12y 24x = -36 + 12y Divide each side by '24'. x = -1.5 + 0.5y Simplifying x = -1.5 + 0.5y
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