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Simplifying 8[5 + -1(4 + -5x)] + 5x = 5(9x + 2) + -2 8[5 + (4 * -1 + -5x * -1)] + 5x = 5(9x + 2) + -2 8[5 + (-4 + 5x)] + 5x = 5(9x + 2) + -2 Combine like terms: 5 + -4 = 1 8[1 + 5x] + 5x = 5(9x + 2) + -2 [1 * 8 + 5x * 8] + 5x = 5(9x + 2) + -2 [8 + 40x] + 5x = 5(9x + 2) + -2 Combine like terms: 40x + 5x = 45x 8 + 45x = 5(9x + 2) + -2 Reorder the terms: 8 + 45x = 5(2 + 9x) + -2 8 + 45x = (2 * 5 + 9x * 5) + -2 8 + 45x = (10 + 45x) + -2 Reorder the terms: 8 + 45x = 10 + -2 + 45x Combine like terms: 10 + -2 = 8 8 + 45x = 8 + 45x Add '-8' to each side of the equation. 8 + -8 + 45x = 8 + -8 + 45x Combine like terms: 8 + -8 = 0 0 + 45x = 8 + -8 + 45x 45x = 8 + -8 + 45x Combine like terms: 8 + -8 = 0 45x = 0 + 45x 45x = 45x Add '-45x' to each side of the equation. 45x + -45x = 45x + -45x Combine like terms: 45x + -45x = 0 0 = 45x + -45x Combine like terms: 45x + -45x = 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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