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Simplifying 5(x + -1) + x = 6(x + 1) + -11 Reorder the terms: 5(-1 + x) + x = 6(x + 1) + -11 (-1 * 5 + x * 5) + x = 6(x + 1) + -11 (-5 + 5x) + x = 6(x + 1) + -11 Combine like terms: 5x + x = 6x -5 + 6x = 6(x + 1) + -11 Reorder the terms: -5 + 6x = 6(1 + x) + -11 -5 + 6x = (1 * 6 + x * 6) + -11 -5 + 6x = (6 + 6x) + -11 Reorder the terms: -5 + 6x = 6 + -11 + 6x Combine like terms: 6 + -11 = -5 -5 + 6x = -5 + 6x Add '5' to each side of the equation. -5 + 5 + 6x = -5 + 5 + 6x Combine like terms: -5 + 5 = 0 0 + 6x = -5 + 5 + 6x 6x = -5 + 5 + 6x Combine like terms: -5 + 5 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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