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Simplifying -7(x + 7) + 23 = 2x + -9(x + 6) Reorder the terms: -7(7 + x) + 23 = 2x + -9(x + 6) (7 * -7 + x * -7) + 23 = 2x + -9(x + 6) (-49 + -7x) + 23 = 2x + -9(x + 6) Reorder the terms: -49 + 23 + -7x = 2x + -9(x + 6) Combine like terms: -49 + 23 = -26 -26 + -7x = 2x + -9(x + 6) Reorder the terms: -26 + -7x = 2x + -9(6 + x) -26 + -7x = 2x + (6 * -9 + x * -9) -26 + -7x = 2x + (-54 + -9x) Reorder the terms: -26 + -7x = -54 + 2x + -9x Combine like terms: 2x + -9x = -7x -26 + -7x = -54 + -7x Add '7x' to each side of the equation. -26 + -7x + 7x = -54 + -7x + 7x Combine like terms: -7x + 7x = 0 -26 + 0 = -54 + -7x + 7x -26 = -54 + -7x + 7x Combine like terms: -7x + 7x = 0 -26 = -54 + 0 -26 = -54 Solving -26 = -54 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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