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Simplifying 4[-3(2x + 3) + 5(5x + -3)] = 0 Reorder the terms: 4[-3(3 + 2x) + 5(5x + -3)] = 0 4[(3 * -3 + 2x * -3) + 5(5x + -3)] = 0 4[(-9 + -6x) + 5(5x + -3)] = 0 Reorder the terms: 4[-9 + -6x + 5(-3 + 5x)] = 0 4[-9 + -6x + (-3 * 5 + 5x * 5)] = 0 4[-9 + -6x + (-15 + 25x)] = 0 Reorder the terms: 4[-9 + -15 + -6x + 25x] = 0 Combine like terms: -9 + -15 = -24 4[-24 + -6x + 25x] = 0 Combine like terms: -6x + 25x = 19x 4[-24 + 19x] = 0 [-24 * 4 + 19x * 4] = 0 [-96 + 76x] = 0 Solving -96 + 76x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + 76x = 0 + 96 Combine like terms: -96 + 96 = 0 0 + 76x = 0 + 96 76x = 0 + 96 Combine like terms: 0 + 96 = 96 76x = 96 Divide each side by '76'. x = 1.263157895 Simplifying x = 1.263157895
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