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Simplifying 9x + 11(x + 1) = 20(x + 1) + -9 Reorder the terms: 9x + 11(1 + x) = 20(x + 1) + -9 9x + (1 * 11 + x * 11) = 20(x + 1) + -9 9x + (11 + 11x) = 20(x + 1) + -9 Reorder the terms: 11 + 9x + 11x = 20(x + 1) + -9 Combine like terms: 9x + 11x = 20x 11 + 20x = 20(x + 1) + -9 Reorder the terms: 11 + 20x = 20(1 + x) + -9 11 + 20x = (1 * 20 + x * 20) + -9 11 + 20x = (20 + 20x) + -9 Reorder the terms: 11 + 20x = 20 + -9 + 20x Combine like terms: 20 + -9 = 11 11 + 20x = 11 + 20x Add '-11' to each side of the equation. 11 + -11 + 20x = 11 + -11 + 20x Combine like terms: 11 + -11 = 0 0 + 20x = 11 + -11 + 20x 20x = 11 + -11 + 20x Combine like terms: 11 + -11 = 0 20x = 0 + 20x 20x = 20x Add '-20x' to each side of the equation. 20x + -20x = 20x + -20x Combine like terms: 20x + -20x = 0 0 = 20x + -20x Combine like terms: 20x + -20x = 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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