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Simplifying 6(x + 7) + 7 = 8x + -2(x + -6) Reorder the terms: 6(7 + x) + 7 = 8x + -2(x + -6) (7 * 6 + x * 6) + 7 = 8x + -2(x + -6) (42 + 6x) + 7 = 8x + -2(x + -6) Reorder the terms: 42 + 7 + 6x = 8x + -2(x + -6) Combine like terms: 42 + 7 = 49 49 + 6x = 8x + -2(x + -6) Reorder the terms: 49 + 6x = 8x + -2(-6 + x) 49 + 6x = 8x + (-6 * -2 + x * -2) 49 + 6x = 8x + (12 + -2x) Reorder the terms: 49 + 6x = 12 + 8x + -2x Combine like terms: 8x + -2x = 6x 49 + 6x = 12 + 6x Add '-6x' to each side of the equation. 49 + 6x + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 49 + 0 = 12 + 6x + -6x 49 = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 49 = 12 + 0 49 = 12 Solving 49 = 12 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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