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