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Simplifying -7(x + 7) + 68 = 2x + -9(x + 1) Reorder the terms: -7(7 + x) + 68 = 2x + -9(x + 1) (7 * -7 + x * -7) + 68 = 2x + -9(x + 1) (-49 + -7x) + 68 = 2x + -9(x + 1) Reorder the terms: -49 + 68 + -7x = 2x + -9(x + 1) Combine like terms: -49 + 68 = 19 19 + -7x = 2x + -9(x + 1) Reorder the terms: 19 + -7x = 2x + -9(1 + x) 19 + -7x = 2x + (1 * -9 + x * -9) 19 + -7x = 2x + (-9 + -9x) Reorder the terms: 19 + -7x = -9 + 2x + -9x Combine like terms: 2x + -9x = -7x 19 + -7x = -9 + -7x Add '7x' to each side of the equation. 19 + -7x + 7x = -9 + -7x + 7x Combine like terms: -7x + 7x = 0 19 + 0 = -9 + -7x + 7x 19 = -9 + -7x + 7x Combine like terms: -7x + 7x = 0 19 = -9 + 0 19 = -9 Solving 19 = -9 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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