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Simplifying 4[-3(5x + 4) + 4(5x + -2)] = 0 Reorder the terms: 4[-3(4 + 5x) + 4(5x + -2)] = 0 4[(4 * -3 + 5x * -3) + 4(5x + -2)] = 0 4[(-12 + -15x) + 4(5x + -2)] = 0 Reorder the terms: 4[-12 + -15x + 4(-2 + 5x)] = 0 4[-12 + -15x + (-2 * 4 + 5x * 4)] = 0 4[-12 + -15x + (-8 + 20x)] = 0 Reorder the terms: 4[-12 + -8 + -15x + 20x] = 0 Combine like terms: -12 + -8 = -20 4[-20 + -15x + 20x] = 0 Combine like terms: -15x + 20x = 5x 4[-20 + 5x] = 0 [-20 * 4 + 5x * 4] = 0 [-80 + 20x] = 0 Solving -80 + 20x = 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 + 20x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 20x = 0 + 80 20x = 0 + 80 Combine like terms: 0 + 80 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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