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Simplifying 4(2 + -3x) = -6x + -2(3x + -4) (2 * 4 + -3x * 4) = -6x + -2(3x + -4) (8 + -12x) = -6x + -2(3x + -4) Reorder the terms: 8 + -12x = -6x + -2(-4 + 3x) 8 + -12x = -6x + (-4 * -2 + 3x * -2) 8 + -12x = -6x + (8 + -6x) Reorder the terms: 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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