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Simplifying 13[3 + -1(2 + -2x)] + x = 3(9x + 5) + -2 13[3 + (2 * -1 + -2x * -1)] + x = 3(9x + 5) + -2 13[3 + (-2 + 2x)] + x = 3(9x + 5) + -2 Combine like terms: 3 + -2 = 1 13[1 + 2x] + x = 3(9x + 5) + -2 [1 * 13 + 2x * 13] + x = 3(9x + 5) + -2 [13 + 26x] + x = 3(9x + 5) + -2 Combine like terms: 26x + x = 27x 13 + 27x = 3(9x + 5) + -2 Reorder the terms: 13 + 27x = 3(5 + 9x) + -2 13 + 27x = (5 * 3 + 9x * 3) + -2 13 + 27x = (15 + 27x) + -2 Reorder the terms: 13 + 27x = 15 + -2 + 27x Combine like terms: 15 + -2 = 13 13 + 27x = 13 + 27x Add '-13' to each side of the equation. 13 + -13 + 27x = 13 + -13 + 27x Combine like terms: 13 + -13 = 0 0 + 27x = 13 + -13 + 27x 27x = 13 + -13 + 27x Combine like terms: 13 + -13 = 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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