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Simplifying 4x + x + 1 = 10x + -5x + 1 Reorder the terms: 1 + 4x + x = 10x + -5x + 1 Combine like terms: 4x + x = 5x 1 + 5x = 10x + -5x + 1 Reorder the terms: 1 + 5x = 1 + 10x + -5x Combine like terms: 10x + -5x = 5x 1 + 5x = 1 + 5x Add '-1' to each side of the equation. 1 + -1 + 5x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 0 + 5x = 1 + -1 + 5x 5x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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