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Simplifying -4(x + 1) + 2x = 2(2 + x) + -8 + -4x Reorder the terms: -4(1 + x) + 2x = 2(2 + x) + -8 + -4x (1 * -4 + x * -4) + 2x = 2(2 + x) + -8 + -4x (-4 + -4x) + 2x = 2(2 + x) + -8 + -4x Combine like terms: -4x + 2x = -2x -4 + -2x = 2(2 + x) + -8 + -4x -4 + -2x = (2 * 2 + x * 2) + -8 + -4x -4 + -2x = (4 + 2x) + -8 + -4x Reorder the terms: -4 + -2x = 4 + -8 + 2x + -4x Combine like terms: 4 + -8 = -4 -4 + -2x = -4 + 2x + -4x Combine like terms: 2x + -4x = -2x -4 + -2x = -4 + -2x Add '4' to each side of the equation. -4 + 4 + -2x = -4 + 4 + -2x Combine like terms: -4 + 4 = 0 0 + -2x = -4 + 4 + -2x -2x = -4 + 4 + -2x Combine like terms: -4 + 4 = 0 -2x = 0 + -2x -2x = -2x Add '2x' to each side of the equation. -2x + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 0 = -2x + 2x Combine like terms: -2x + 2x = 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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