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Simplifying -4(3x + -9) + 6 = -12x + 42 Reorder the terms: -4(-9 + 3x) + 6 = -12x + 42 (-9 * -4 + 3x * -4) + 6 = -12x + 42 (36 + -12x) + 6 = -12x + 42 Reorder the terms: 36 + 6 + -12x = -12x + 42 Combine like terms: 36 + 6 = 42 42 + -12x = -12x + 42 Reorder the terms: 42 + -12x = 42 + -12x Add '-42' to each side of the equation. 42 + -42 + -12x = 42 + -42 + -12x Combine like terms: 42 + -42 = 0 0 + -12x = 42 + -42 + -12x -12x = 42 + -42 + -12x Combine like terms: 42 + -42 = 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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