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Simplifying 8x + -6(x + 7) = 8 + 2(x + 5) Reorder the terms: 8x + -6(7 + x) = 8 + 2(x + 5) 8x + (7 * -6 + x * -6) = 8 + 2(x + 5) 8x + (-42 + -6x) = 8 + 2(x + 5) Reorder the terms: -42 + 8x + -6x = 8 + 2(x + 5) Combine like terms: 8x + -6x = 2x -42 + 2x = 8 + 2(x + 5) Reorder the terms: -42 + 2x = 8 + 2(5 + x) -42 + 2x = 8 + (5 * 2 + x * 2) -42 + 2x = 8 + (10 + 2x) Combine like terms: 8 + 10 = 18 -42 + 2x = 18 + 2x Add '-2x' to each side of the equation. -42 + 2x + -2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 0 = 18 + 2x + -2x -42 = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 = 18 + 0 -42 = 18 Solving -42 = 18 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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