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Simplifying 2x + 2 = (4x + 5) + -1(2x + 3) Reorder the terms: 2 + 2x = (4x + 5) + -1(2x + 3) Reorder the terms: 2 + 2x = (5 + 4x) + -1(2x + 3) Remove parenthesis around (5 + 4x) 2 + 2x = 5 + 4x + -1(2x + 3) Reorder the terms: 2 + 2x = 5 + 4x + -1(3 + 2x) 2 + 2x = 5 + 4x + (3 * -1 + 2x * -1) 2 + 2x = 5 + 4x + (-3 + -2x) Reorder the terms: 2 + 2x = 5 + -3 + 4x + -2x Combine like terms: 5 + -3 = 2 2 + 2x = 2 + 4x + -2x Combine like terms: 4x + -2x = 2x 2 + 2x = 2 + 2x Add '-2' to each side of the equation. 2 + -2 + 2x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 0 + 2x = 2 + -2 + 2x 2x = 2 + -2 + 2x Combine like terms: 2 + -2 = 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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