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Simplifying 5x + 1 + -6x = 6 + -1(x + 5) Reorder the terms: 1 + 5x + -6x = 6 + -1(x + 5) Combine like terms: 5x + -6x = -1x 1 + -1x = 6 + -1(x + 5) Reorder the terms: 1 + -1x = 6 + -1(5 + x) 1 + -1x = 6 + (5 * -1 + x * -1) 1 + -1x = 6 + (-5 + -1x) Combine like terms: 6 + -5 = 1 1 + -1x = 1 + -1x Add '-1' to each side of the equation. 1 + -1 + -1x = 1 + -1 + -1x Combine like terms: 1 + -1 = 0 0 + -1x = 1 + -1 + -1x -1x = 1 + -1 + -1x Combine like terms: 1 + -1 = 0 -1x = 0 + -1x -1x = -1x Add 'x' to each side of the equation. -1x + x = -1x + x Combine like terms: -1x + x = 0 0 = -1x + x Combine like terms: -1x + x = 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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