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Simplifying 9x + -2(x + -5) = 7(x + -1) + 5 Reorder the terms: 9x + -2(-5 + x) = 7(x + -1) + 5 9x + (-5 * -2 + x * -2) = 7(x + -1) + 5 9x + (10 + -2x) = 7(x + -1) + 5 Reorder the terms: 10 + 9x + -2x = 7(x + -1) + 5 Combine like terms: 9x + -2x = 7x 10 + 7x = 7(x + -1) + 5 Reorder the terms: 10 + 7x = 7(-1 + x) + 5 10 + 7x = (-1 * 7 + x * 7) + 5 10 + 7x = (-7 + 7x) + 5 Reorder the terms: 10 + 7x = -7 + 5 + 7x Combine like terms: -7 + 5 = -2 10 + 7x = -2 + 7x Add '-7x' to each side of the equation. 10 + 7x + -7x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 0 = -2 + 7x + -7x 10 = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 10 = -2 + 0 10 = -2 Solving 10 = -2 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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