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Simplifying -2(x + 5) + 71 = 7x + -9(x + 1) Reorder the terms: -2(5 + x) + 71 = 7x + -9(x + 1) (5 * -2 + x * -2) + 71 = 7x + -9(x + 1) (-10 + -2x) + 71 = 7x + -9(x + 1) Reorder the terms: -10 + 71 + -2x = 7x + -9(x + 1) Combine like terms: -10 + 71 = 61 61 + -2x = 7x + -9(x + 1) Reorder the terms: 61 + -2x = 7x + -9(1 + x) 61 + -2x = 7x + (1 * -9 + x * -9) 61 + -2x = 7x + (-9 + -9x) Reorder the terms: 61 + -2x = -9 + 7x + -9x Combine like terms: 7x + -9x = -2x 61 + -2x = -9 + -2x Add '2x' to each side of the equation. 61 + -2x + 2x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 61 + 0 = -9 + -2x + 2x 61 = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 61 = -9 + 0 61 = -9 Solving 61 = -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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