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Simplifying 8(x + 4) + 10 = 10x + -2(x + -5) Reorder the terms: 8(4 + x) + 10 = 10x + -2(x + -5) (4 * 8 + x * 8) + 10 = 10x + -2(x + -5) (32 + 8x) + 10 = 10x + -2(x + -5) Reorder the terms: 32 + 10 + 8x = 10x + -2(x + -5) Combine like terms: 32 + 10 = 42 42 + 8x = 10x + -2(x + -5) Reorder the terms: 42 + 8x = 10x + -2(-5 + x) 42 + 8x = 10x + (-5 * -2 + x * -2) 42 + 8x = 10x + (10 + -2x) Reorder the terms: 42 + 8x = 10 + 10x + -2x Combine like terms: 10x + -2x = 8x 42 + 8x = 10 + 8x Add '-8x' to each side of the equation. 42 + 8x + -8x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + 0 = 10 + 8x + -8x 42 = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 42 = 10 + 0 42 = 10 Solving 42 = 10 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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