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Simplifying 10x + -2(x + 4) = 3 + 8(x + 7) Reorder the terms: 10x + -2(4 + x) = 3 + 8(x + 7) 10x + (4 * -2 + x * -2) = 3 + 8(x + 7) 10x + (-8 + -2x) = 3 + 8(x + 7) Reorder the terms: -8 + 10x + -2x = 3 + 8(x + 7) Combine like terms: 10x + -2x = 8x -8 + 8x = 3 + 8(x + 7) Reorder the terms: -8 + 8x = 3 + 8(7 + x) -8 + 8x = 3 + (7 * 8 + x * 8) -8 + 8x = 3 + (56 + 8x) Combine like terms: 3 + 56 = 59 -8 + 8x = 59 + 8x Add '-8x' to each side of the equation. -8 + 8x + -8x = 59 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 0 = 59 + 8x + -8x -8 = 59 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 = 59 + 0 -8 = 59 Solving -8 = 59 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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