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Simplifying 9[3 + -1(2 + -3x)] + 8x = 5(7x + 4) + -11 9[3 + (2 * -1 + -3x * -1)] + 8x = 5(7x + 4) + -11 9[3 + (-2 + 3x)] + 8x = 5(7x + 4) + -11 Combine like terms: 3 + -2 = 1 9[1 + 3x] + 8x = 5(7x + 4) + -11 [1 * 9 + 3x * 9] + 8x = 5(7x + 4) + -11 [9 + 27x] + 8x = 5(7x + 4) + -11 Combine like terms: 27x + 8x = 35x 9 + 35x = 5(7x + 4) + -11 Reorder the terms: 9 + 35x = 5(4 + 7x) + -11 9 + 35x = (4 * 5 + 7x * 5) + -11 9 + 35x = (20 + 35x) + -11 Reorder the terms: 9 + 35x = 20 + -11 + 35x Combine like terms: 20 + -11 = 9 9 + 35x = 9 + 35x Add '-9' to each side of the equation. 9 + -9 + 35x = 9 + -9 + 35x Combine like terms: 9 + -9 = 0 0 + 35x = 9 + -9 + 35x 35x = 9 + -9 + 35x Combine like terms: 9 + -9 = 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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