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Simplifying 5(4 + -5x) + 31x + 2 = -2x + -1(1 + -8x) + 23 (4 * 5 + -5x * 5) + 31x + 2 = -2x + -1(1 + -8x) + 23 (20 + -25x) + 31x + 2 = -2x + -1(1 + -8x) + 23 Reorder the terms: 20 + 2 + -25x + 31x = -2x + -1(1 + -8x) + 23 Combine like terms: 20 + 2 = 22 22 + -25x + 31x = -2x + -1(1 + -8x) + 23 Combine like terms: -25x + 31x = 6x 22 + 6x = -2x + -1(1 + -8x) + 23 22 + 6x = -2x + (1 * -1 + -8x * -1) + 23 22 + 6x = -2x + (-1 + 8x) + 23 Reorder the terms: 22 + 6x = -1 + 23 + -2x + 8x Combine like terms: -1 + 23 = 22 22 + 6x = 22 + -2x + 8x Combine like terms: -2x + 8x = 6x 22 + 6x = 22 + 6x Add '-22' to each side of the equation. 22 + -22 + 6x = 22 + -22 + 6x Combine like terms: 22 + -22 = 0 0 + 6x = 22 + -22 + 6x 6x = 22 + -22 + 6x Combine like terms: 22 + -22 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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