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Simplifying 8[x + -1] = -2[x + -41] Reorder the terms: 8[-1 + x] = -2[x + -41] [-1 * 8 + x * 8] = -2[x + -41] [-8 + 8x] = -2[x + -41] Reorder the terms: -8 + 8x = -2[-41 + x] -8 + 8x = [-41 * -2 + x * -2] -8 + 8x = [82 + -2x] Solving -8 + 8x = 82 + -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 + 8x + 2x = 82 + -2x + 2x Combine like terms: 8x + 2x = 10x -8 + 10x = 82 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 10x = 82 + 0 -8 + 10x = 82 Add '8' to each side of the equation. -8 + 8 + 10x = 82 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 82 + 8 10x = 82 + 8 Combine like terms: 82 + 8 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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