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Simplifying 11x + -1(6x + -5) = 40 + -1(35 + -5x) Reorder the terms: 11x + -1(-5 + 6x) = 40 + -1(35 + -5x) 11x + (-5 * -1 + 6x * -1) = 40 + -1(35 + -5x) 11x + (5 + -6x) = 40 + -1(35 + -5x) Reorder the terms: 5 + 11x + -6x = 40 + -1(35 + -5x) Combine like terms: 11x + -6x = 5x 5 + 5x = 40 + -1(35 + -5x) 5 + 5x = 40 + (35 * -1 + -5x * -1) 5 + 5x = 40 + (-35 + 5x) Combine like terms: 40 + -35 = 5 5 + 5x = 5 + 5x Add '-5' to each side of the equation. 5 + -5 + 5x = 5 + -5 + 5x Combine like terms: 5 + -5 = 0 0 + 5x = 5 + -5 + 5x 5x = 5 + -5 + 5x Combine like terms: 5 + -5 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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