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Simplifying 5[-3(2x + 4) + 2(5x + -2)] = 0 Reorder the terms: 5[-3(4 + 2x) + 2(5x + -2)] = 0 5[(4 * -3 + 2x * -3) + 2(5x + -2)] = 0 5[(-12 + -6x) + 2(5x + -2)] = 0 Reorder the terms: 5[-12 + -6x + 2(-2 + 5x)] = 0 5[-12 + -6x + (-2 * 2 + 5x * 2)] = 0 5[-12 + -6x + (-4 + 10x)] = 0 Reorder the terms: 5[-12 + -4 + -6x + 10x] = 0 Combine like terms: -12 + -4 = -16 5[-16 + -6x + 10x] = 0 Combine like terms: -6x + 10x = 4x 5[-16 + 4x] = 0 [-16 * 5 + 4x * 5] = 0 [-80 + 20x] = 0 Solving -80 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + 20x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 20x = 0 + 80 20x = 0 + 80 Combine like terms: 0 + 80 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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