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Simplifying 12(x + -3) = 6(2x + 3) + -54 Reorder the terms: 12(-3 + x) = 6(2x + 3) + -54 (-3 * 12 + x * 12) = 6(2x + 3) + -54 (-36 + 12x) = 6(2x + 3) + -54 Reorder the terms: -36 + 12x = 6(3 + 2x) + -54 -36 + 12x = (3 * 6 + 2x * 6) + -54 -36 + 12x = (18 + 12x) + -54 Reorder the terms: -36 + 12x = 18 + -54 + 12x Combine like terms: 18 + -54 = -36 -36 + 12x = -36 + 12x Add '36' to each side of the equation. -36 + 36 + 12x = -36 + 36 + 12x Combine like terms: -36 + 36 = 0 0 + 12x = -36 + 36 + 12x 12x = -36 + 36 + 12x Combine like terms: -36 + 36 = 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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