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Simplifying 4[-2(3x + 4) + 5(3x + -3)] = 0 Reorder the terms: 4[-2(4 + 3x) + 5(3x + -3)] = 0 4[(4 * -2 + 3x * -2) + 5(3x + -3)] = 0 4[(-8 + -6x) + 5(3x + -3)] = 0 Reorder the terms: 4[-8 + -6x + 5(-3 + 3x)] = 0 4[-8 + -6x + (-3 * 5 + 3x * 5)] = 0 4[-8 + -6x + (-15 + 15x)] = 0 Reorder the terms: 4[-8 + -15 + -6x + 15x] = 0 Combine like terms: -8 + -15 = -23 4[-23 + -6x + 15x] = 0 Combine like terms: -6x + 15x = 9x 4[-23 + 9x] = 0 [-23 * 4 + 9x * 4] = 0 [-92 + 36x] = 0 Solving -92 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '92' to each side of the equation. -92 + 92 + 36x = 0 + 92 Combine like terms: -92 + 92 = 0 0 + 36x = 0 + 92 36x = 0 + 92 Combine like terms: 0 + 92 = 92 36x = 92 Divide each side by '36'. x = 2.555555556 Simplifying x = 2.555555556
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