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Simplifying 8(x + 9) + 7 = 10x + -2(x + -6) Reorder the terms: 8(9 + x) + 7 = 10x + -2(x + -6) (9 * 8 + x * 8) + 7 = 10x + -2(x + -6) (72 + 8x) + 7 = 10x + -2(x + -6) Reorder the terms: 72 + 7 + 8x = 10x + -2(x + -6) Combine like terms: 72 + 7 = 79 79 + 8x = 10x + -2(x + -6) Reorder the terms: 79 + 8x = 10x + -2(-6 + x) 79 + 8x = 10x + (-6 * -2 + x * -2) 79 + 8x = 10x + (12 + -2x) Reorder the terms: 79 + 8x = 12 + 10x + -2x Combine like terms: 10x + -2x = 8x 79 + 8x = 12 + 8x Add '-8x' to each side of the equation. 79 + 8x + -8x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 79 + 0 = 12 + 8x + -8x 79 = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 79 = 12 + 0 79 = 12 Solving 79 = 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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