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Simplifying 4[3(x + -7) + 1] = 0 Reorder the terms: 4[3(-7 + x) + 1] = 0 4[(-7 * 3 + x * 3) + 1] = 0 4[(-21 + 3x) + 1] = 0 Reorder the terms: 4[-21 + 1 + 3x] = 0 Combine like terms: -21 + 1 = -20 4[-20 + 3x] = 0 [-20 * 4 + 3x * 4] = 0 [-80 + 12x] = 0 Solving -80 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + 12x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 12x = 0 + 80 12x = 0 + 80 Combine like terms: 0 + 80 = 80 12x = 80 Divide each side by '12'. x = 6.666666667 Simplifying x = 6.666666667
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