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Simplifying 2[4 + -1(3 + -17x)] + x = 5(7x + 3) + -13 2[4 + (3 * -1 + -17x * -1)] + x = 5(7x + 3) + -13 2[4 + (-3 + 17x)] + x = 5(7x + 3) + -13 Combine like terms: 4 + -3 = 1 2[1 + 17x] + x = 5(7x + 3) + -13 [1 * 2 + 17x * 2] + x = 5(7x + 3) + -13 [2 + 34x] + x = 5(7x + 3) + -13 Combine like terms: 34x + x = 35x 2 + 35x = 5(7x + 3) + -13 Reorder the terms: 2 + 35x = 5(3 + 7x) + -13 2 + 35x = (3 * 5 + 7x * 5) + -13 2 + 35x = (15 + 35x) + -13 Reorder the terms: 2 + 35x = 15 + -13 + 35x Combine like terms: 15 + -13 = 2 2 + 35x = 2 + 35x Add '-2' to each side of the equation. 2 + -2 + 35x = 2 + -2 + 35x Combine like terms: 2 + -2 = 0 0 + 35x = 2 + -2 + 35x 35x = 2 + -2 + 35x Combine like terms: 2 + -2 = 0 35x = 0 + 35x 35x = 35x Add '-35x' to each side of the equation. 35x + -35x = 35x + -35x Combine like terms: 35x + -35x = 0 0 = 35x + -35x Combine like terms: 35x + -35x = 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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