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Simplifying 6[4(3 + x) + -14] + 2 = 0 6[(3 * 4 + x * 4) + -14] + 2 = 0 6[(12 + 4x) + -14] + 2 = 0 Reorder the terms: 6[12 + -14 + 4x] + 2 = 0 Combine like terms: 12 + -14 = -2 6[-2 + 4x] + 2 = 0 [-2 * 6 + 4x * 6] + 2 = 0 [-12 + 24x] + 2 = 0 Reorder the terms: -12 + 2 + 24x = 0 Combine like terms: -12 + 2 = -10 -10 + 24x = 0 Solving -10 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 24x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 24x = 0 + 10 24x = 0 + 10 Combine like terms: 0 + 10 = 10 24x = 10 Divide each side by '24'. x = 0.4166666667 Simplifying x = 0.4166666667
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