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Simplifying 7(x + -2) + 5x = 6(2x + 5) + -10 Reorder the terms: 7(-2 + x) + 5x = 6(2x + 5) + -10 (-2 * 7 + x * 7) + 5x = 6(2x + 5) + -10 (-14 + 7x) + 5x = 6(2x + 5) + -10 Combine like terms: 7x + 5x = 12x -14 + 12x = 6(2x + 5) + -10 Reorder the terms: -14 + 12x = 6(5 + 2x) + -10 -14 + 12x = (5 * 6 + 2x * 6) + -10 -14 + 12x = (30 + 12x) + -10 Reorder the terms: -14 + 12x = 30 + -10 + 12x Combine like terms: 30 + -10 = 20 -14 + 12x = 20 + 12x Add '-12x' to each side of the equation. -14 + 12x + -12x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + 0 = 20 + 12x + -12x -14 = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 = 20 + 0 -14 = 20 Solving -14 = 20 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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