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Simplifying -5(x + 5) + -1x + -6 = -6(x + 7) + 11 Reorder the terms: -5(5 + x) + -1x + -6 = -6(x + 7) + 11 (5 * -5 + x * -5) + -1x + -6 = -6(x + 7) + 11 (-25 + -5x) + -1x + -6 = -6(x + 7) + 11 Reorder the terms: -25 + -6 + -5x + -1x = -6(x + 7) + 11 Combine like terms: -25 + -6 = -31 -31 + -5x + -1x = -6(x + 7) + 11 Combine like terms: -5x + -1x = -6x -31 + -6x = -6(x + 7) + 11 Reorder the terms: -31 + -6x = -6(7 + x) + 11 -31 + -6x = (7 * -6 + x * -6) + 11 -31 + -6x = (-42 + -6x) + 11 Reorder the terms: -31 + -6x = -42 + 11 + -6x Combine like terms: -42 + 11 = -31 -31 + -6x = -31 + -6x Add '31' to each side of the equation. -31 + 31 + -6x = -31 + 31 + -6x Combine like terms: -31 + 31 = 0 0 + -6x = -31 + 31 + -6x -6x = -31 + 31 + -6x Combine like terms: -31 + 31 = 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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