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Simplifying 13x + 11(x + 1) = 24(x + 1) + -13 Reorder the terms: 13x + 11(1 + x) = 24(x + 1) + -13 13x + (1 * 11 + x * 11) = 24(x + 1) + -13 13x + (11 + 11x) = 24(x + 1) + -13 Reorder the terms: 11 + 13x + 11x = 24(x + 1) + -13 Combine like terms: 13x + 11x = 24x 11 + 24x = 24(x + 1) + -13 Reorder the terms: 11 + 24x = 24(1 + x) + -13 11 + 24x = (1 * 24 + x * 24) + -13 11 + 24x = (24 + 24x) + -13 Reorder the terms: 11 + 24x = 24 + -13 + 24x Combine like terms: 24 + -13 = 11 11 + 24x = 11 + 24x Add '-11' to each side of the equation. 11 + -11 + 24x = 11 + -11 + 24x Combine like terms: 11 + -11 = 0 0 + 24x = 11 + -11 + 24x 24x = 11 + -11 + 24x Combine like terms: 11 + -11 = 0 24x = 0 + 24x 24x = 24x Add '-24x' to each side of the equation. 24x + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 0 = 24x + -24x Combine like terms: 24x + -24x = 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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