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Simplifying 5(x + -2) + 7x = 6(2x + 4) + -12 Reorder the terms: 5(-2 + x) + 7x = 6(2x + 4) + -12 (-2 * 5 + x * 5) + 7x = 6(2x + 4) + -12 (-10 + 5x) + 7x = 6(2x + 4) + -12 Combine like terms: 5x + 7x = 12x -10 + 12x = 6(2x + 4) + -12 Reorder the terms: -10 + 12x = 6(4 + 2x) + -12 -10 + 12x = (4 * 6 + 2x * 6) + -12 -10 + 12x = (24 + 12x) + -12 Reorder the terms: -10 + 12x = 24 + -12 + 12x Combine like terms: 24 + -12 = 12 -10 + 12x = 12 + 12x Add '-12x' to each side of the equation. -10 + 12x + -12x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + 0 = 12 + 12x + -12x -10 = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 = 12 + 0 -10 = 12 Solving -10 = 12 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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