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Simplifying 7(x + -6) + 5 = 7x + 8 Reorder the terms: 7(-6 + x) + 5 = 7x + 8 (-6 * 7 + x * 7) + 5 = 7x + 8 (-42 + 7x) + 5 = 7x + 8 Reorder the terms: -42 + 5 + 7x = 7x + 8 Combine like terms: -42 + 5 = -37 -37 + 7x = 7x + 8 Reorder the terms: -37 + 7x = 8 + 7x Add '-7x' to each side of the equation. -37 + 7x + -7x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -37 + 0 = 8 + 7x + -7x -37 = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -37 = 8 + 0 -37 = 8 Solving -37 = 8 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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