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Simplifying 41x + -30 = 5x + 6(6x + -5) Reorder the terms: -30 + 41x = 5x + 6(6x + -5) Reorder the terms: -30 + 41x = 5x + 6(-5 + 6x) -30 + 41x = 5x + (-5 * 6 + 6x * 6) -30 + 41x = 5x + (-30 + 36x) Reorder the terms: -30 + 41x = -30 + 5x + 36x Combine like terms: 5x + 36x = 41x -30 + 41x = -30 + 41x Add '30' to each side of the equation. -30 + 30 + 41x = -30 + 30 + 41x Combine like terms: -30 + 30 = 0 0 + 41x = -30 + 30 + 41x 41x = -30 + 30 + 41x Combine like terms: -30 + 30 = 0 41x = 0 + 41x 41x = 41x Add '-41x' to each side of the equation. 41x + -41x = 41x + -41x Combine like terms: 41x + -41x = 0 0 = 41x + -41x Combine like terms: 41x + -41x = 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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