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Simplifying 6[4 + -1(5 + 2x)] + -4x = -8 + 2(1 + -8x) 6[4 + (5 * -1 + 2x * -1)] + -4x = -8 + 2(1 + -8x) 6[4 + (-5 + -2x)] + -4x = -8 + 2(1 + -8x) Combine like terms: 4 + -5 = -1 6[-1 + -2x] + -4x = -8 + 2(1 + -8x) [-1 * 6 + -2x * 6] + -4x = -8 + 2(1 + -8x) [-6 + -12x] + -4x = -8 + 2(1 + -8x) Combine like terms: -12x + -4x = -16x -6 + -16x = -8 + 2(1 + -8x) -6 + -16x = -8 + (1 * 2 + -8x * 2) -6 + -16x = -8 + (2 + -16x) Combine like terms: -8 + 2 = -6 -6 + -16x = -6 + -16x Add '6' to each side of the equation. -6 + 6 + -16x = -6 + 6 + -16x Combine like terms: -6 + 6 = 0 0 + -16x = -6 + 6 + -16x -16x = -6 + 6 + -16x Combine like terms: -6 + 6 = 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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