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Simplifying 6[4 + -1(5 + 6x)] + -4x = -8 + 2(1 + -20x) 6[4 + (5 * -1 + 6x * -1)] + -4x = -8 + 2(1 + -20x) 6[4 + (-5 + -6x)] + -4x = -8 + 2(1 + -20x) Combine like terms: 4 + -5 = -1 6[-1 + -6x] + -4x = -8 + 2(1 + -20x) [-1 * 6 + -6x * 6] + -4x = -8 + 2(1 + -20x) [-6 + -36x] + -4x = -8 + 2(1 + -20x) Combine like terms: -36x + -4x = -40x -6 + -40x = -8 + 2(1 + -20x) -6 + -40x = -8 + (1 * 2 + -20x * 2) -6 + -40x = -8 + (2 + -40x) Combine like terms: -8 + 2 = -6 -6 + -40x = -6 + -40x Add '6' to each side of the equation. -6 + 6 + -40x = -6 + 6 + -40x Combine like terms: -6 + 6 = 0 0 + -40x = -6 + 6 + -40x -40x = -6 + 6 + -40x Combine like terms: -6 + 6 = 0 -40x = 0 + -40x -40x = -40x Add '40x' to each side of the equation. -40x + 40x = -40x + 40x Combine like terms: -40x + 40x = 0 0 = -40x + 40x Combine like terms: -40x + 40x = 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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