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