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Simplifying 12(x + -7) = 4(3x + 21) Reorder the terms: 12(-7 + x) = 4(3x + 21) (-7 * 12 + x * 12) = 4(3x + 21) (-84 + 12x) = 4(3x + 21) Reorder the terms: -84 + 12x = 4(21 + 3x) -84 + 12x = (21 * 4 + 3x * 4) -84 + 12x = (84 + 12x) Add '-12x' to each side of the equation. -84 + 12x + -12x = 84 + 12x + -12x Combine like terms: 12x + -12x = 0 -84 + 0 = 84 + 12x + -12x -84 = 84 + 12x + -12x Combine like terms: 12x + -12x = 0 -84 = 84 + 0 -84 = 84 Solving -84 = 84 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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