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Simplifying 4x + 2[4 + -2(2x + 2)] = 2x + -4 Reorder the terms: 4x + 2[4 + -2(2 + 2x)] = 2x + -4 4x + 2[4 + (2 * -2 + 2x * -2)] = 2x + -4 4x + 2[4 + (-4 + -4x)] = 2x + -4 Combine like terms: 4 + -4 = 0 4x + 2[0 + -4x] = 2x + -4 4x + 2[-4x] = 2x + -4 Remove brackets around [-4x] 4x + 2 * -4x = 2x + -4 Multiply 2 * -4 4x + -8x = 2x + -4 Combine like terms: 4x + -8x = -4x -4x = 2x + -4 Reorder the terms: -4x = -4 + 2x Solving -4x = -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. -4x + -2x = -4 + 2x + -2x Combine like terms: -4x + -2x = -6x -6x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -6x = -4 + 0 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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