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Simplifying 3(4x + -2) = 6x + -8 + 2(3x + 1) Reorder the terms: 3(-2 + 4x) = 6x + -8 + 2(3x + 1) (-2 * 3 + 4x * 3) = 6x + -8 + 2(3x + 1) (-6 + 12x) = 6x + -8 + 2(3x + 1) Reorder the terms: -6 + 12x = 6x + -8 + 2(1 + 3x) -6 + 12x = 6x + -8 + (1 * 2 + 3x * 2) -6 + 12x = 6x + -8 + (2 + 6x) Reorder the terms: -6 + 12x = -8 + 2 + 6x + 6x Combine like terms: -8 + 2 = -6 -6 + 12x = -6 + 6x + 6x Combine like terms: 6x + 6x = 12x -6 + 12x = -6 + 12x Add '6' to each side of the equation. -6 + 6 + 12x = -6 + 6 + 12x Combine like terms: -6 + 6 = 0 0 + 12x = -6 + 6 + 12x 12x = -6 + 6 + 12x Combine like terms: -6 + 6 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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