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Simplifying 2x + 5(x + -4) = 12 + 7(x + 2) Reorder the terms: 2x + 5(-4 + x) = 12 + 7(x + 2) 2x + (-4 * 5 + x * 5) = 12 + 7(x + 2) 2x + (-20 + 5x) = 12 + 7(x + 2) Reorder the terms: -20 + 2x + 5x = 12 + 7(x + 2) Combine like terms: 2x + 5x = 7x -20 + 7x = 12 + 7(x + 2) Reorder the terms: -20 + 7x = 12 + 7(2 + x) -20 + 7x = 12 + (2 * 7 + x * 7) -20 + 7x = 12 + (14 + 7x) Combine like terms: 12 + 14 = 26 -20 + 7x = 26 + 7x Add '-7x' to each side of the equation. -20 + 7x + -7x = 26 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + 0 = 26 + 7x + -7x -20 = 26 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 = 26 + 0 -20 = 26 Solving -20 = 26 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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