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Simplifying 2[-3(2x + 4) + 8(3x + -2)] = 0 Reorder the terms: 2[-3(4 + 2x) + 8(3x + -2)] = 0 2[(4 * -3 + 2x * -3) + 8(3x + -2)] = 0 2[(-12 + -6x) + 8(3x + -2)] = 0 Reorder the terms: 2[-12 + -6x + 8(-2 + 3x)] = 0 2[-12 + -6x + (-2 * 8 + 3x * 8)] = 0 2[-12 + -6x + (-16 + 24x)] = 0 Reorder the terms: 2[-12 + -16 + -6x + 24x] = 0 Combine like terms: -12 + -16 = -28 2[-28 + -6x + 24x] = 0 Combine like terms: -6x + 24x = 18x 2[-28 + 18x] = 0 [-28 * 2 + 18x * 2] = 0 [-56 + 36x] = 0 Solving -56 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 36x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 36x = 0 + 56 36x = 0 + 56 Combine like terms: 0 + 56 = 56 36x = 56 Divide each side by '36'. x = 1.555555556 Simplifying x = 1.555555556
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