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Simplifying 9x + -2(x + -5) = 7(x + 1) + 7 Reorder the terms: 9x + -2(-5 + x) = 7(x + 1) + 7 9x + (-5 * -2 + x * -2) = 7(x + 1) + 7 9x + (10 + -2x) = 7(x + 1) + 7 Reorder the terms: 10 + 9x + -2x = 7(x + 1) + 7 Combine like terms: 9x + -2x = 7x 10 + 7x = 7(x + 1) + 7 Reorder the terms: 10 + 7x = 7(1 + x) + 7 10 + 7x = (1 * 7 + x * 7) + 7 10 + 7x = (7 + 7x) + 7 Reorder the terms: 10 + 7x = 7 + 7 + 7x Combine like terms: 7 + 7 = 14 10 + 7x = 14 + 7x Add '-7x' to each side of the equation. 10 + 7x + -7x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 0 = 14 + 7x + -7x 10 = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 10 = 14 + 0 10 = 14 Solving 10 = 14 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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