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Simplifying 4[-5(2x + 3) + 3(5x + -2)] = 0 Reorder the terms: 4[-5(3 + 2x) + 3(5x + -2)] = 0 4[(3 * -5 + 2x * -5) + 3(5x + -2)] = 0 4[(-15 + -10x) + 3(5x + -2)] = 0 Reorder the terms: 4[-15 + -10x + 3(-2 + 5x)] = 0 4[-15 + -10x + (-2 * 3 + 5x * 3)] = 0 4[-15 + -10x + (-6 + 15x)] = 0 Reorder the terms: 4[-15 + -6 + -10x + 15x] = 0 Combine like terms: -15 + -6 = -21 4[-21 + -10x + 15x] = 0 Combine like terms: -10x + 15x = 5x 4[-21 + 5x] = 0 [-21 * 4 + 5x * 4] = 0 [-84 + 20x] = 0 Solving -84 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 20x = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 20x = 0 + 84 20x = 0 + 84 Combine like terms: 0 + 84 = 84 20x = 84 Divide each side by '20'. x = 4.2 Simplifying x = 4.2
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