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Simplifying 8(x + 3) + 2 = 10x + -2(x + -4) Reorder the terms: 8(3 + x) + 2 = 10x + -2(x + -4) (3 * 8 + x * 8) + 2 = 10x + -2(x + -4) (24 + 8x) + 2 = 10x + -2(x + -4) Reorder the terms: 24 + 2 + 8x = 10x + -2(x + -4) Combine like terms: 24 + 2 = 26 26 + 8x = 10x + -2(x + -4) Reorder the terms: 26 + 8x = 10x + -2(-4 + x) 26 + 8x = 10x + (-4 * -2 + x * -2) 26 + 8x = 10x + (8 + -2x) Reorder the terms: 26 + 8x = 8 + 10x + -2x Combine like terms: 10x + -2x = 8x 26 + 8x = 8 + 8x Add '-8x' to each side of the equation. 26 + 8x + -8x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 26 + 0 = 8 + 8x + -8x 26 = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 26 = 8 + 0 26 = 8 Solving 26 = 8 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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