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Simplifying 4[2(x + -2) + -1(x + 4)] = 0 Reorder the terms: 4[2(-2 + x) + -1(x + 4)] = 0 4[(-2 * 2 + x * 2) + -1(x + 4)] = 0 4[(-4 + 2x) + -1(x + 4)] = 0 Reorder the terms: 4[-4 + 2x + -1(4 + x)] = 0 4[-4 + 2x + (4 * -1 + x * -1)] = 0 4[-4 + 2x + (-4 + -1x)] = 0 Reorder the terms: 4[-4 + -4 + 2x + -1x] = 0 Combine like terms: -4 + -4 = -8 4[-8 + 2x + -1x] = 0 Combine like terms: 2x + -1x = 1x 4[-8 + 1x] = 0 [-8 * 4 + 1x * 4] = 0 [-32 + 4x] = 0 Solving -32 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 4x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = 0 + 32 4x = 0 + 32 Combine like terms: 0 + 32 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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