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Simplifying 7 + 2x + -8 = 1 + 2(x + -1) Reorder the terms: 7 + -8 + 2x = 1 + 2(x + -1) Combine like terms: 7 + -8 = -1 -1 + 2x = 1 + 2(x + -1) Reorder the terms: -1 + 2x = 1 + 2(-1 + x) -1 + 2x = 1 + (-1 * 2 + x * 2) -1 + 2x = 1 + (-2 + 2x) Combine like terms: 1 + -2 = -1 -1 + 2x = -1 + 2x Add '1' to each side of the equation. -1 + 1 + 2x = -1 + 1 + 2x Combine like terms: -1 + 1 = 0 0 + 2x = -1 + 1 + 2x 2x = -1 + 1 + 2x Combine like terms: -1 + 1 = 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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