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Simplifying 13x + 5(x + 1) = 18(x + 1) + -13 Reorder the terms: 13x + 5(1 + x) = 18(x + 1) + -13 13x + (1 * 5 + x * 5) = 18(x + 1) + -13 13x + (5 + 5x) = 18(x + 1) + -13 Reorder the terms: 5 + 13x + 5x = 18(x + 1) + -13 Combine like terms: 13x + 5x = 18x 5 + 18x = 18(x + 1) + -13 Reorder the terms: 5 + 18x = 18(1 + x) + -13 5 + 18x = (1 * 18 + x * 18) + -13 5 + 18x = (18 + 18x) + -13 Reorder the terms: 5 + 18x = 18 + -13 + 18x Combine like terms: 18 + -13 = 5 5 + 18x = 5 + 18x Add '-5' to each side of the equation. 5 + -5 + 18x = 5 + -5 + 18x Combine like terms: 5 + -5 = 0 0 + 18x = 5 + -5 + 18x 18x = 5 + -5 + 18x Combine like terms: 5 + -5 = 0 18x = 0 + 18x 18x = 18x Add '-18x' to each side of the equation. 18x + -18x = 18x + -18x Combine like terms: 18x + -18x = 0 0 = 18x + -18x Combine like terms: 18x + -18x = 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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