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Simplifying 1 + -5x = 5(1 + -1x) + -4 1 + -5x = (1 * 5 + -1x * 5) + -4 1 + -5x = (5 + -5x) + -4 Reorder the terms: 1 + -5x = 5 + -4 + -5x Combine like terms: 5 + -4 = 1 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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