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Simplifying 3[3x + -4(y + -3)] = 0 Reorder the terms: 3[3x + -4(-3 + y)] = 0 3[3x + (-3 * -4 + y * -4)] = 0 3[3x + (12 + -4y)] = 0 Reorder the terms: 3[12 + 3x + -4y] = 0 [12 * 3 + 3x * 3 + -4y * 3] = 0 [36 + 9x + -12y] = 0 Solving 36 + 9x + -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 + 9x + -36 + -12y = 0 + -36 Reorder the terms: 36 + -36 + 9x + -12y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 9x + -12y = 0 + -36 9x + -12y = 0 + -36 Combine like terms: 0 + -36 = -36 9x + -12y = -36 Add '12y' to each side of the equation. 9x + -12y + 12y = -36 + 12y Combine like terms: -12y + 12y = 0 9x + 0 = -36 + 12y 9x = -36 + 12y Divide each side by '9'. x = -4 + 1.333333333y Simplifying x = -4 + 1.333333333y
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