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Simplifying 14[3 + -1(2 + -1x)] + 13x = 3(9x + 5) + -1 14[3 + (2 * -1 + -1x * -1)] + 13x = 3(9x + 5) + -1 14[3 + (-2 + 1x)] + 13x = 3(9x + 5) + -1 Combine like terms: 3 + -2 = 1 14[1 + 1x] + 13x = 3(9x + 5) + -1 [1 * 14 + 1x * 14] + 13x = 3(9x + 5) + -1 [14 + 14x] + 13x = 3(9x + 5) + -1 Combine like terms: 14x + 13x = 27x 14 + 27x = 3(9x + 5) + -1 Reorder the terms: 14 + 27x = 3(5 + 9x) + -1 14 + 27x = (5 * 3 + 9x * 3) + -1 14 + 27x = (15 + 27x) + -1 Reorder the terms: 14 + 27x = 15 + -1 + 27x Combine like terms: 15 + -1 = 14 14 + 27x = 14 + 27x Add '-14' to each side of the equation. 14 + -14 + 27x = 14 + -14 + 27x Combine like terms: 14 + -14 = 0 0 + 27x = 14 + -14 + 27x 27x = 14 + -14 + 27x Combine like terms: 14 + -14 = 0 27x = 0 + 27x 27x = 27x Add '-27x' to each side of the equation. 27x + -27x = 27x + -27x Combine like terms: 27x + -27x = 0 0 = 27x + -27x Combine like terms: 27x + -27x = 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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