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Simplifying 8(x + 5) = 7(x + -6) + x Reorder the terms: 8(5 + x) = 7(x + -6) + x (5 * 8 + x * 8) = 7(x + -6) + x (40 + 8x) = 7(x + -6) + x Reorder the terms: 40 + 8x = 7(-6 + x) + x 40 + 8x = (-6 * 7 + x * 7) + x 40 + 8x = (-42 + 7x) + x Combine like terms: 7x + x = 8x 40 + 8x = -42 + 8x Add '-8x' to each side of the equation. 40 + 8x + -8x = -42 + 8x + -8x Combine like terms: 8x + -8x = 0 40 + 0 = -42 + 8x + -8x 40 = -42 + 8x + -8x Combine like terms: 8x + -8x = 0 40 = -42 + 0 40 = -42 Solving 40 = -42 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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