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Simplifying 4[-2(3x + 5) + 2(5x + -3)] = 0 Reorder the terms: 4[-2(5 + 3x) + 2(5x + -3)] = 0 4[(5 * -2 + 3x * -2) + 2(5x + -3)] = 0 4[(-10 + -6x) + 2(5x + -3)] = 0 Reorder the terms: 4[-10 + -6x + 2(-3 + 5x)] = 0 4[-10 + -6x + (-3 * 2 + 5x * 2)] = 0 4[-10 + -6x + (-6 + 10x)] = 0 Reorder the terms: 4[-10 + -6 + -6x + 10x] = 0 Combine like terms: -10 + -6 = -16 4[-16 + -6x + 10x] = 0 Combine like terms: -6x + 10x = 4x 4[-16 + 4x] = 0 [-16 * 4 + 4x * 4] = 0 [-64 + 16x] = 0 Solving -64 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 16x = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 16x = 0 + 64 16x = 0 + 64 Combine like terms: 0 + 64 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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