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Simplifying 3[-4(2x + 4) + 2(5x + -3)] = 0 Reorder the terms: 3[-4(4 + 2x) + 2(5x + -3)] = 0 3[(4 * -4 + 2x * -4) + 2(5x + -3)] = 0 3[(-16 + -8x) + 2(5x + -3)] = 0 Reorder the terms: 3[-16 + -8x + 2(-3 + 5x)] = 0 3[-16 + -8x + (-3 * 2 + 5x * 2)] = 0 3[-16 + -8x + (-6 + 10x)] = 0 Reorder the terms: 3[-16 + -6 + -8x + 10x] = 0 Combine like terms: -16 + -6 = -22 3[-22 + -8x + 10x] = 0 Combine like terms: -8x + 10x = 2x 3[-22 + 2x] = 0 [-22 * 3 + 2x * 3] = 0 [-66 + 6x] = 0 Solving -66 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 6x = 0 + 66 Combine like terms: -66 + 66 = 0 0 + 6x = 0 + 66 6x = 0 + 66 Combine like terms: 0 + 66 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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