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Simplifying 8[2 + -1(4 + 4x)] + -4x = -18 + 2(1 + -18x) 8[2 + (4 * -1 + 4x * -1)] + -4x = -18 + 2(1 + -18x) 8[2 + (-4 + -4x)] + -4x = -18 + 2(1 + -18x) Combine like terms: 2 + -4 = -2 8[-2 + -4x] + -4x = -18 + 2(1 + -18x) [-2 * 8 + -4x * 8] + -4x = -18 + 2(1 + -18x) [-16 + -32x] + -4x = -18 + 2(1 + -18x) Combine like terms: -32x + -4x = -36x -16 + -36x = -18 + 2(1 + -18x) -16 + -36x = -18 + (1 * 2 + -18x * 2) -16 + -36x = -18 + (2 + -36x) Combine like terms: -18 + 2 = -16 -16 + -36x = -16 + -36x Add '16' to each side of the equation. -16 + 16 + -36x = -16 + 16 + -36x Combine like terms: -16 + 16 = 0 0 + -36x = -16 + 16 + -36x -36x = -16 + 16 + -36x Combine like terms: -16 + 16 = 0 -36x = 0 + -36x -36x = -36x Add '36x' to each side of the equation. -36x + 36x = -36x + 36x Combine like terms: -36x + 36x = 0 0 = -36x + 36x Combine like terms: -36x + 36x = 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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