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Simplifying -6(x + 4) + 7 = -8x + 2(x + 5) Reorder the terms: -6(4 + x) + 7 = -8x + 2(x + 5) (4 * -6 + x * -6) + 7 = -8x + 2(x + 5) (-24 + -6x) + 7 = -8x + 2(x + 5) Reorder the terms: -24 + 7 + -6x = -8x + 2(x + 5) Combine like terms: -24 + 7 = -17 -17 + -6x = -8x + 2(x + 5) Reorder the terms: -17 + -6x = -8x + 2(5 + x) -17 + -6x = -8x + (5 * 2 + x * 2) -17 + -6x = -8x + (10 + 2x) Reorder the terms: -17 + -6x = 10 + -8x + 2x Combine like terms: -8x + 2x = -6x -17 + -6x = 10 + -6x Add '6x' to each side of the equation. -17 + -6x + 6x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + 0 = 10 + -6x + 6x -17 = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 = 10 + 0 -17 = 10 Solving -17 = 10 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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