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Simplifying 7x + 11 = 5(x + -2) + 2x + -1 Reorder the terms: 11 + 7x = 5(x + -2) + 2x + -1 Reorder the terms: 11 + 7x = 5(-2 + x) + 2x + -1 11 + 7x = (-2 * 5 + x * 5) + 2x + -1 11 + 7x = (-10 + 5x) + 2x + -1 Reorder the terms: 11 + 7x = -10 + -1 + 5x + 2x Combine like terms: -10 + -1 = -11 11 + 7x = -11 + 5x + 2x Combine like terms: 5x + 2x = 7x 11 + 7x = -11 + 7x Add '-7x' to each side of the equation. 11 + 7x + -7x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + 0 = -11 + 7x + -7x 11 = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 11 = -11 + 0 11 = -11 Solving 11 = -11 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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