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Simplifying -3(x + 4) + 2(3x + 7) = 0 Reorder the terms: -3(4 + x) + 2(3x + 7) = 0 (4 * -3 + x * -3) + 2(3x + 7) = 0 (-12 + -3x) + 2(3x + 7) = 0 Reorder the terms: -12 + -3x + 2(7 + 3x) = 0 -12 + -3x + (7 * 2 + 3x * 2) = 0 -12 + -3x + (14 + 6x) = 0 Reorder the terms: -12 + 14 + -3x + 6x = 0 Combine like terms: -12 + 14 = 2 2 + -3x + 6x = 0 Combine like terms: -3x + 6x = 3x 2 + 3x = 0 Solving 2 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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