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Simplifying 6[2 + -1(3 + 6x)] + -2x = -8 + 2(1 + -19x) 6[2 + (3 * -1 + 6x * -1)] + -2x = -8 + 2(1 + -19x) 6[2 + (-3 + -6x)] + -2x = -8 + 2(1 + -19x) Combine like terms: 2 + -3 = -1 6[-1 + -6x] + -2x = -8 + 2(1 + -19x) [-1 * 6 + -6x * 6] + -2x = -8 + 2(1 + -19x) [-6 + -36x] + -2x = -8 + 2(1 + -19x) Combine like terms: -36x + -2x = -38x -6 + -38x = -8 + 2(1 + -19x) -6 + -38x = -8 + (1 * 2 + -19x * 2) -6 + -38x = -8 + (2 + -38x) Combine like terms: -8 + 2 = -6 -6 + -38x = -6 + -38x Add '6' to each side of the equation. -6 + 6 + -38x = -6 + 6 + -38x Combine like terms: -6 + 6 = 0 0 + -38x = -6 + 6 + -38x -38x = -6 + 6 + -38x Combine like terms: -6 + 6 = 0 -38x = 0 + -38x -38x = -38x Add '38x' to each side of the equation. -38x + 38x = -38x + 38x Combine like terms: -38x + 38x = 0 0 = -38x + 38x Combine like terms: -38x + 38x = 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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