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Simplifying x + -4 + -7(x + -3) + 3(4x + 1) = 0 Reorder the terms: x + -4 + -7(-3 + x) + 3(4x + 1) = 0 x + -4 + (-3 * -7 + x * -7) + 3(4x + 1) = 0 x + -4 + (21 + -7x) + 3(4x + 1) = 0 Reorder the terms: x + -4 + 21 + -7x + 3(1 + 4x) = 0 x + -4 + 21 + -7x + (1 * 3 + 4x * 3) = 0 x + -4 + 21 + -7x + (3 + 12x) = 0 Reorder the terms: -4 + 21 + 3 + x + -7x + 12x = 0 Combine like terms: -4 + 21 = 17 17 + 3 + x + -7x + 12x = 0 Combine like terms: 17 + 3 = 20 20 + x + -7x + 12x = 0 Combine like terms: x + -7x = -6x 20 + -6x + 12x = 0 Combine like terms: -6x + 12x = 6x 20 + 6x = 0 Solving 20 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 6x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = 0 + -20 6x = 0 + -20 Combine like terms: 0 + -20 = -20 6x = -20 Divide each side by '6'. x = -3.333333333 Simplifying x = -3.333333333
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