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Simplifying -2(x + 4) + 82 = 7x + -9(x + -2) Reorder the terms: -2(4 + x) + 82 = 7x + -9(x + -2) (4 * -2 + x * -2) + 82 = 7x + -9(x + -2) (-8 + -2x) + 82 = 7x + -9(x + -2) Reorder the terms: -8 + 82 + -2x = 7x + -9(x + -2) Combine like terms: -8 + 82 = 74 74 + -2x = 7x + -9(x + -2) Reorder the terms: 74 + -2x = 7x + -9(-2 + x) 74 + -2x = 7x + (-2 * -9 + x * -9) 74 + -2x = 7x + (18 + -9x) Reorder the terms: 74 + -2x = 18 + 7x + -9x Combine like terms: 7x + -9x = -2x 74 + -2x = 18 + -2x Add '2x' to each side of the equation. 74 + -2x + 2x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 74 + 0 = 18 + -2x + 2x 74 = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 74 = 18 + 0 74 = 18 Solving 74 = 18 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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