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Simplifying 8(x + 6) = 7(x + -6) + x Reorder the terms: 8(6 + x) = 7(x + -6) + x (6 * 8 + x * 8) = 7(x + -6) + x (48 + 8x) = 7(x + -6) + x Reorder the terms: 48 + 8x = 7(-6 + x) + x 48 + 8x = (-6 * 7 + x * 7) + x 48 + 8x = (-42 + 7x) + x Combine like terms: 7x + x = 8x 48 + 8x = -42 + 8x Add '-8x' to each side of the equation. 48 + 8x + -8x = -42 + 8x + -8x Combine like terms: 8x + -8x = 0 48 + 0 = -42 + 8x + -8x 48 = -42 + 8x + -8x Combine like terms: 8x + -8x = 0 48 = -42 + 0 48 = -42 Solving 48 = -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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