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Simplifying 8(1 + -2x) = -6(2x + -1) + -1(4x + -2) (1 * 8 + -2x * 8) = -6(2x + -1) + -1(4x + -2) (8 + -16x) = -6(2x + -1) + -1(4x + -2) Reorder the terms: 8 + -16x = -6(-1 + 2x) + -1(4x + -2) 8 + -16x = (-1 * -6 + 2x * -6) + -1(4x + -2) 8 + -16x = (6 + -12x) + -1(4x + -2) Reorder the terms: 8 + -16x = 6 + -12x + -1(-2 + 4x) 8 + -16x = 6 + -12x + (-2 * -1 + 4x * -1) 8 + -16x = 6 + -12x + (2 + -4x) Reorder the terms: 8 + -16x = 6 + 2 + -12x + -4x Combine like terms: 6 + 2 = 8 8 + -16x = 8 + -12x + -4x Combine like terms: -12x + -4x = -16x 8 + -16x = 8 + -16x Add '-8' to each side of the equation. 8 + -8 + -16x = 8 + -8 + -16x Combine like terms: 8 + -8 = 0 0 + -16x = 8 + -8 + -16x -16x = 8 + -8 + -16x Combine like terms: 8 + -8 = 0 -16x = 0 + -16x -16x = -16x Add '16x' to each side of the equation. -16x + 16x = -16x + 16x Combine like terms: -16x + 16x = 0 0 = -16x + 16x Combine like terms: -16x + 16x = 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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