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Simplifying 4[-3(2x + 4) + 4(3x + -2)] = 0 Reorder the terms: 4[-3(4 + 2x) + 4(3x + -2)] = 0 4[(4 * -3 + 2x * -3) + 4(3x + -2)] = 0 4[(-12 + -6x) + 4(3x + -2)] = 0 Reorder the terms: 4[-12 + -6x + 4(-2 + 3x)] = 0 4[-12 + -6x + (-2 * 4 + 3x * 4)] = 0 4[-12 + -6x + (-8 + 12x)] = 0 Reorder the terms: 4[-12 + -8 + -6x + 12x] = 0 Combine like terms: -12 + -8 = -20 4[-20 + -6x + 12x] = 0 Combine like terms: -6x + 12x = 6x 4[-20 + 6x] = 0 [-20 * 4 + 6x * 4] = 0 [-80 + 24x] = 0 Solving -80 + 24x = 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 + 24x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 24x = 0 + 80 24x = 0 + 80 Combine like terms: 0 + 80 = 80 24x = 80 Divide each side by '24'. x = 3.333333333 Simplifying x = 3.333333333
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