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Simplifying 4x + 1 = 5 + 2(2x + -2) Reorder the terms: 1 + 4x = 5 + 2(2x + -2) Reorder the terms: 1 + 4x = 5 + 2(-2 + 2x) 1 + 4x = 5 + (-2 * 2 + 2x * 2) 1 + 4x = 5 + (-4 + 4x) Combine like terms: 5 + -4 = 1 1 + 4x = 1 + 4x Add '-1' to each side of the equation. 1 + -1 + 4x = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 0 + 4x = 1 + -1 + 4x 4x = 1 + -1 + 4x Combine like terms: 1 + -1 = 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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