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Simplifying 6(-2x + 3) = 6(-2x) + 6(3) Reorder the terms: 6(3 + -2x) = 6(-2x) + 6(3) (3 * 6 + -2x * 6) = 6(-2x) + 6(3) (18 + -12x) = 6(-2x) + 6(3) Remove parenthesis around (-2x) 18 + -12x = 6 * -2x + 6(3) Multiply 6 * -2 18 + -12x = -12x + 6(3) Multiply 6 * 3 18 + -12x = -12x + 18 Reorder the terms: 18 + -12x = 18 + -12x Add '-18' to each side of the equation. 18 + -18 + -12x = 18 + -18 + -12x Combine like terms: 18 + -18 = 0 0 + -12x = 18 + -18 + -12x -12x = 18 + -18 + -12x Combine like terms: 18 + -18 = 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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