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Simplifying 5x + -2(x + -5) = 11 + -1(1 + -3x) Reorder the terms: 5x + -2(-5 + x) = 11 + -1(1 + -3x) 5x + (-5 * -2 + x * -2) = 11 + -1(1 + -3x) 5x + (10 + -2x) = 11 + -1(1 + -3x) Reorder the terms: 10 + 5x + -2x = 11 + -1(1 + -3x) Combine like terms: 5x + -2x = 3x 10 + 3x = 11 + -1(1 + -3x) 10 + 3x = 11 + (1 * -1 + -3x * -1) 10 + 3x = 11 + (-1 + 3x) Combine like terms: 11 + -1 = 10 10 + 3x = 10 + 3x Add '-10' to each side of the equation. 10 + -10 + 3x = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 0 + 3x = 10 + -10 + 3x 3x = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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