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Simplifying 18x + 11(x + 1) = 29(x + 1) + -18 Reorder the terms: 18x + 11(1 + x) = 29(x + 1) + -18 18x + (1 * 11 + x * 11) = 29(x + 1) + -18 18x + (11 + 11x) = 29(x + 1) + -18 Reorder the terms: 11 + 18x + 11x = 29(x + 1) + -18 Combine like terms: 18x + 11x = 29x 11 + 29x = 29(x + 1) + -18 Reorder the terms: 11 + 29x = 29(1 + x) + -18 11 + 29x = (1 * 29 + x * 29) + -18 11 + 29x = (29 + 29x) + -18 Reorder the terms: 11 + 29x = 29 + -18 + 29x Combine like terms: 29 + -18 = 11 11 + 29x = 11 + 29x Add '-11' to each side of the equation. 11 + -11 + 29x = 11 + -11 + 29x Combine like terms: 11 + -11 = 0 0 + 29x = 11 + -11 + 29x 29x = 11 + -11 + 29x Combine like terms: 11 + -11 = 0 29x = 0 + 29x 29x = 29x Add '-29x' to each side of the equation. 29x + -29x = 29x + -29x Combine like terms: 29x + -29x = 0 0 = 29x + -29x Combine like terms: 29x + -29x = 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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