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Simplifying x + -4 + -9(x + -3) + 3(4x + 1) = 0 Reorder the terms: x + -4 + -9(-3 + x) + 3(4x + 1) = 0 x + -4 + (-3 * -9 + x * -9) + 3(4x + 1) = 0 x + -4 + (27 + -9x) + 3(4x + 1) = 0 Reorder the terms: x + -4 + 27 + -9x + 3(1 + 4x) = 0 x + -4 + 27 + -9x + (1 * 3 + 4x * 3) = 0 x + -4 + 27 + -9x + (3 + 12x) = 0 Reorder the terms: -4 + 27 + 3 + x + -9x + 12x = 0 Combine like terms: -4 + 27 = 23 23 + 3 + x + -9x + 12x = 0 Combine like terms: 23 + 3 = 26 26 + x + -9x + 12x = 0 Combine like terms: x + -9x = -8x 26 + -8x + 12x = 0 Combine like terms: -8x + 12x = 4x 26 + 4x = 0 Solving 26 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 4x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 4x = 0 + -26 4x = 0 + -26 Combine like terms: 0 + -26 = -26 4x = -26 Divide each side by '4'. x = -6.5 Simplifying x = -6.5
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