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Simplifying 5x + 9 + -1(3x + -13) = 2(11 + x) Reorder the terms: 5x + 9 + -1(-13 + 3x) = 2(11 + x) 5x + 9 + (-13 * -1 + 3x * -1) = 2(11 + x) 5x + 9 + (13 + -3x) = 2(11 + x) Reorder the terms: 9 + 13 + 5x + -3x = 2(11 + x) Combine like terms: 9 + 13 = 22 22 + 5x + -3x = 2(11 + x) Combine like terms: 5x + -3x = 2x 22 + 2x = 2(11 + x) 22 + 2x = (11 * 2 + x * 2) 22 + 2x = (22 + 2x) Add '-22' to each side of the equation. 22 + -22 + 2x = 22 + -22 + 2x Combine like terms: 22 + -22 = 0 0 + 2x = 22 + -22 + 2x 2x = 22 + -22 + 2x Combine like terms: 22 + -22 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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