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Simplifying 8(x + 7) + 11 = 10x + -2(x + -6) Reorder the terms: 8(7 + x) + 11 = 10x + -2(x + -6) (7 * 8 + x * 8) + 11 = 10x + -2(x + -6) (56 + 8x) + 11 = 10x + -2(x + -6) Reorder the terms: 56 + 11 + 8x = 10x + -2(x + -6) Combine like terms: 56 + 11 = 67 67 + 8x = 10x + -2(x + -6) Reorder the terms: 67 + 8x = 10x + -2(-6 + x) 67 + 8x = 10x + (-6 * -2 + x * -2) 67 + 8x = 10x + (12 + -2x) Reorder the terms: 67 + 8x = 12 + 10x + -2x Combine like terms: 10x + -2x = 8x 67 + 8x = 12 + 8x Add '-8x' to each side of the equation. 67 + 8x + -8x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 67 + 0 = 12 + 8x + -8x 67 = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 67 = 12 + 0 67 = 12 Solving 67 = 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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