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Simplifying 4[-3(4x + 4) + 4(4x + -5)] = 0 Reorder the terms: 4[-3(4 + 4x) + 4(4x + -5)] = 0 4[(4 * -3 + 4x * -3) + 4(4x + -5)] = 0 4[(-12 + -12x) + 4(4x + -5)] = 0 Reorder the terms: 4[-12 + -12x + 4(-5 + 4x)] = 0 4[-12 + -12x + (-5 * 4 + 4x * 4)] = 0 4[-12 + -12x + (-20 + 16x)] = 0 Reorder the terms: 4[-12 + -20 + -12x + 16x] = 0 Combine like terms: -12 + -20 = -32 4[-32 + -12x + 16x] = 0 Combine like terms: -12x + 16x = 4x 4[-32 + 4x] = 0 [-32 * 4 + 4x * 4] = 0 [-128 + 16x] = 0 Solving -128 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '128' to each side of the equation. -128 + 128 + 16x = 0 + 128 Combine like terms: -128 + 128 = 0 0 + 16x = 0 + 128 16x = 0 + 128 Combine like terms: 0 + 128 = 128 16x = 128 Divide each side by '16'. x = 8 Simplifying x = 8
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