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Simplifying 8x + -2(x + -7) = 6(x + 1) + 2 Reorder the terms: 8x + -2(-7 + x) = 6(x + 1) + 2 8x + (-7 * -2 + x * -2) = 6(x + 1) + 2 8x + (14 + -2x) = 6(x + 1) + 2 Reorder the terms: 14 + 8x + -2x = 6(x + 1) + 2 Combine like terms: 8x + -2x = 6x 14 + 6x = 6(x + 1) + 2 Reorder the terms: 14 + 6x = 6(1 + x) + 2 14 + 6x = (1 * 6 + x * 6) + 2 14 + 6x = (6 + 6x) + 2 Reorder the terms: 14 + 6x = 6 + 2 + 6x Combine like terms: 6 + 2 = 8 14 + 6x = 8 + 6x Add '-6x' to each side of the equation. 14 + 6x + -6x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 0 = 8 + 6x + -6x 14 = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 14 = 8 + 0 14 = 8 Solving 14 = 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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