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Simplifying 5(x + -5) + x = 6(x + -6) + 11 Reorder the terms: 5(-5 + x) + x = 6(x + -6) + 11 (-5 * 5 + x * 5) + x = 6(x + -6) + 11 (-25 + 5x) + x = 6(x + -6) + 11 Combine like terms: 5x + x = 6x -25 + 6x = 6(x + -6) + 11 Reorder the terms: -25 + 6x = 6(-6 + x) + 11 -25 + 6x = (-6 * 6 + x * 6) + 11 -25 + 6x = (-36 + 6x) + 11 Reorder the terms: -25 + 6x = -36 + 11 + 6x Combine like terms: -36 + 11 = -25 -25 + 6x = -25 + 6x Add '25' to each side of the equation. -25 + 25 + 6x = -25 + 25 + 6x Combine like terms: -25 + 25 = 0 0 + 6x = -25 + 25 + 6x 6x = -25 + 25 + 6x Combine like terms: -25 + 25 = 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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