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Simplifying 5[-2(3x + 5) + 4(4x + -4)] = 0 Reorder the terms: 5[-2(5 + 3x) + 4(4x + -4)] = 0 5[(5 * -2 + 3x * -2) + 4(4x + -4)] = 0 5[(-10 + -6x) + 4(4x + -4)] = 0 Reorder the terms: 5[-10 + -6x + 4(-4 + 4x)] = 0 5[-10 + -6x + (-4 * 4 + 4x * 4)] = 0 5[-10 + -6x + (-16 + 16x)] = 0 Reorder the terms: 5[-10 + -16 + -6x + 16x] = 0 Combine like terms: -10 + -16 = -26 5[-26 + -6x + 16x] = 0 Combine like terms: -6x + 16x = 10x 5[-26 + 10x] = 0 [-26 * 5 + 10x * 5] = 0 [-130 + 50x] = 0 Solving -130 + 50x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '130' to each side of the equation. -130 + 130 + 50x = 0 + 130 Combine like terms: -130 + 130 = 0 0 + 50x = 0 + 130 50x = 0 + 130 Combine like terms: 0 + 130 = 130 50x = 130 Divide each side by '50'. x = 2.6 Simplifying x = 2.6
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