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Simplifying 4[x + -2] = 2[x + -4] + 2x Reorder the terms: 4[-2 + x] = 2[x + -4] + 2x [-2 * 4 + x * 4] = 2[x + -4] + 2x [-8 + 4x] = 2[x + -4] + 2x Reorder the terms: -8 + 4x = 2[-4 + x] + 2x -8 + 4x = [-4 * 2 + x * 2] + 2x -8 + 4x = [-8 + 2x] + 2x Combine like terms: 2x + 2x = 4x -8 + 4x = -8 + 4x Add '8' to each side of the equation. -8 + 8 + 4x = -8 + 8 + 4x Combine like terms: -8 + 8 = 0 0 + 4x = -8 + 8 + 4x 4x = -8 + 8 + 4x Combine like terms: -8 + 8 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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