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Simplifying 4(3x + -9) + -9 = 12x + -45 Reorder the terms: 4(-9 + 3x) + -9 = 12x + -45 (-9 * 4 + 3x * 4) + -9 = 12x + -45 (-36 + 12x) + -9 = 12x + -45 Reorder the terms: -36 + -9 + 12x = 12x + -45 Combine like terms: -36 + -9 = -45 -45 + 12x = 12x + -45 Reorder the terms: -45 + 12x = -45 + 12x Add '45' to each side of the equation. -45 + 45 + 12x = -45 + 45 + 12x Combine like terms: -45 + 45 = 0 0 + 12x = -45 + 45 + 12x 12x = -45 + 45 + 12x Combine like terms: -45 + 45 = 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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