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Simplifying 8 + 2(x + -8) = 1 + -8(x + -2) Reorder the terms: 8 + 2(-8 + x) = 1 + -8(x + -2) 8 + (-8 * 2 + x * 2) = 1 + -8(x + -2) 8 + (-16 + 2x) = 1 + -8(x + -2) Combine like terms: 8 + -16 = -8 -8 + 2x = 1 + -8(x + -2) Reorder the terms: -8 + 2x = 1 + -8(-2 + x) -8 + 2x = 1 + (-2 * -8 + x * -8) -8 + 2x = 1 + (16 + -8x) Combine like terms: 1 + 16 = 17 -8 + 2x = 17 + -8x Solving -8 + 2x = 17 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + 2x + 8x = 17 + -8x + 8x Combine like terms: 2x + 8x = 10x -8 + 10x = 17 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 10x = 17 + 0 -8 + 10x = 17 Add '8' to each side of the equation. -8 + 8 + 10x = 17 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 17 + 8 10x = 17 + 8 Combine like terms: 17 + 8 = 25 10x = 25 Divide each side by '10'. x = 2.5 Simplifying x = 2.5
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