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Simplifying 10x + -2(x + -7) = 8(x + 1) + 7 Reorder the terms: 10x + -2(-7 + x) = 8(x + 1) + 7 10x + (-7 * -2 + x * -2) = 8(x + 1) + 7 10x + (14 + -2x) = 8(x + 1) + 7 Reorder the terms: 14 + 10x + -2x = 8(x + 1) + 7 Combine like terms: 10x + -2x = 8x 14 + 8x = 8(x + 1) + 7 Reorder the terms: 14 + 8x = 8(1 + x) + 7 14 + 8x = (1 * 8 + x * 8) + 7 14 + 8x = (8 + 8x) + 7 Reorder the terms: 14 + 8x = 8 + 7 + 8x Combine like terms: 8 + 7 = 15 14 + 8x = 15 + 8x Add '-8x' to each side of the equation. 14 + 8x + -8x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 0 = 15 + 8x + -8x 14 = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 14 = 15 + 0 14 = 15 Solving 14 = 15 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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