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Simplifying 8x + -1(3x + 8) = 2(x + 8) Reorder the terms: 8x + -1(8 + 3x) = 2(x + 8) 8x + (8 * -1 + 3x * -1) = 2(x + 8) 8x + (-8 + -3x) = 2(x + 8) Reorder the terms: -8 + 8x + -3x = 2(x + 8) Combine like terms: 8x + -3x = 5x -8 + 5x = 2(x + 8) Reorder the terms: -8 + 5x = 2(8 + x) -8 + 5x = (8 * 2 + x * 2) -8 + 5x = (16 + 2x) Solving -8 + 5x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 5x + -2x = 16 + 2x + -2x Combine like terms: 5x + -2x = 3x -8 + 3x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 3x = 16 + 0 -8 + 3x = 16 Add '8' to each side of the equation. -8 + 8 + 3x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 16 + 8 3x = 16 + 8 Combine like terms: 16 + 8 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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