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Simplifying 9x + -2(x + -7) = 7(x + 1) + 5 Reorder the terms: 9x + -2(-7 + x) = 7(x + 1) + 5 9x + (-7 * -2 + x * -2) = 7(x + 1) + 5 9x + (14 + -2x) = 7(x + 1) + 5 Reorder the terms: 14 + 9x + -2x = 7(x + 1) + 5 Combine like terms: 9x + -2x = 7x 14 + 7x = 7(x + 1) + 5 Reorder the terms: 14 + 7x = 7(1 + x) + 5 14 + 7x = (1 * 7 + x * 7) + 5 14 + 7x = (7 + 7x) + 5 Reorder the terms: 14 + 7x = 7 + 5 + 7x Combine like terms: 7 + 5 = 12 14 + 7x = 12 + 7x Add '-7x' to each side of the equation. 14 + 7x + -7x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + 0 = 12 + 7x + -7x 14 = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 14 = 12 + 0 14 = 12 Solving 14 = 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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