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Simplifying 8[x + -1] = -4x + 76 Reorder the terms: 8[-1 + x] = -4x + 76 [-1 * 8 + x * 8] = -4x + 76 [-8 + 8x] = -4x + 76 Reorder the terms: -8 + 8x = 76 + -4x Solving -8 + 8x = 76 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + 8x + 4x = 76 + -4x + 4x Combine like terms: 8x + 4x = 12x -8 + 12x = 76 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 12x = 76 + 0 -8 + 12x = 76 Add '8' to each side of the equation. -8 + 8 + 12x = 76 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 76 + 8 12x = 76 + 8 Combine like terms: 76 + 8 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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