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Simplifying 9 + -2(x + 1) + -42 = 6x + -8(x + 7) Reorder the terms: 9 + -2(1 + x) + -42 = 6x + -8(x + 7) 9 + (1 * -2 + x * -2) + -42 = 6x + -8(x + 7) 9 + (-2 + -2x) + -42 = 6x + -8(x + 7) Reorder the terms: 9 + -2 + -42 + -2x = 6x + -8(x + 7) Combine like terms: 9 + -2 = 7 7 + -42 + -2x = 6x + -8(x + 7) Combine like terms: 7 + -42 = -35 -35 + -2x = 6x + -8(x + 7) Reorder the terms: -35 + -2x = 6x + -8(7 + x) -35 + -2x = 6x + (7 * -8 + x * -8) -35 + -2x = 6x + (-56 + -8x) Reorder the terms: -35 + -2x = -56 + 6x + -8x Combine like terms: 6x + -8x = -2x -35 + -2x = -56 + -2x Add '2x' to each side of the equation. -35 + -2x + 2x = -56 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 + 0 = -56 + -2x + 2x -35 = -56 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 = -56 + 0 -35 = -56 Solving -35 = -56 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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