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