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Simplifying 6(x + -5) + 5 = x + 5(x + -5) Reorder the terms: 6(-5 + x) + 5 = x + 5(x + -5) (-5 * 6 + x * 6) + 5 = x + 5(x + -5) (-30 + 6x) + 5 = x + 5(x + -5) Reorder the terms: -30 + 5 + 6x = x + 5(x + -5) Combine like terms: -30 + 5 = -25 -25 + 6x = x + 5(x + -5) Reorder the terms: -25 + 6x = x + 5(-5 + x) -25 + 6x = x + (-5 * 5 + x * 5) -25 + 6x = x + (-25 + 5x) Reorder the terms: -25 + 6x = -25 + x + 5x Combine like terms: x + 5x = 6x -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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