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Simplifying 8(x + 4) = 7(x + -5) + x Reorder the terms: 8(4 + x) = 7(x + -5) + x (4 * 8 + x * 8) = 7(x + -5) + x (32 + 8x) = 7(x + -5) + x Reorder the terms: 32 + 8x = 7(-5 + x) + x 32 + 8x = (-5 * 7 + x * 7) + x 32 + 8x = (-35 + 7x) + x Combine like terms: 7x + x = 8x 32 + 8x = -35 + 8x Add '-8x' to each side of the equation. 32 + 8x + -8x = -35 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + 0 = -35 + 8x + -8x 32 = -35 + 8x + -8x Combine like terms: 8x + -8x = 0 32 = -35 + 0 32 = -35 Solving 32 = -35 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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