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Simplifying 8[3 + -1(5 + 6x)] + -2x = -18 + 2(1 + -25x) 8[3 + (5 * -1 + 6x * -1)] + -2x = -18 + 2(1 + -25x) 8[3 + (-5 + -6x)] + -2x = -18 + 2(1 + -25x) Combine like terms: 3 + -5 = -2 8[-2 + -6x] + -2x = -18 + 2(1 + -25x) [-2 * 8 + -6x * 8] + -2x = -18 + 2(1 + -25x) [-16 + -48x] + -2x = -18 + 2(1 + -25x) Combine like terms: -48x + -2x = -50x -16 + -50x = -18 + 2(1 + -25x) -16 + -50x = -18 + (1 * 2 + -25x * 2) -16 + -50x = -18 + (2 + -50x) Combine like terms: -18 + 2 = -16 -16 + -50x = -16 + -50x Add '16' to each side of the equation. -16 + 16 + -50x = -16 + 16 + -50x Combine like terms: -16 + 16 = 0 0 + -50x = -16 + 16 + -50x -50x = -16 + 16 + -50x Combine like terms: -16 + 16 = 0 -50x = 0 + -50x -50x = -50x Add '50x' to each side of the equation. -50x + 50x = -50x + 50x Combine like terms: -50x + 50x = 0 0 = -50x + 50x Combine like terms: -50x + 50x = 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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