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Simplifying 5[-5(2x + 4) + 4(4x + -3)] = 0 Reorder the terms: 5[-5(4 + 2x) + 4(4x + -3)] = 0 5[(4 * -5 + 2x * -5) + 4(4x + -3)] = 0 5[(-20 + -10x) + 4(4x + -3)] = 0 Reorder the terms: 5[-20 + -10x + 4(-3 + 4x)] = 0 5[-20 + -10x + (-3 * 4 + 4x * 4)] = 0 5[-20 + -10x + (-12 + 16x)] = 0 Reorder the terms: 5[-20 + -12 + -10x + 16x] = 0 Combine like terms: -20 + -12 = -32 5[-32 + -10x + 16x] = 0 Combine like terms: -10x + 16x = 6x 5[-32 + 6x] = 0 [-32 * 5 + 6x * 5] = 0 [-160 + 30x] = 0 Solving -160 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '160' to each side of the equation. -160 + 160 + 30x = 0 + 160 Combine like terms: -160 + 160 = 0 0 + 30x = 0 + 160 30x = 0 + 160 Combine like terms: 0 + 160 = 160 30x = 160 Divide each side by '30'. x = 5.333333333 Simplifying x = 5.333333333
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