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Simplifying -8[x + 1] = 4[x + -11] Reorder the terms: -8[1 + x] = 4[x + -11] [1 * -8 + x * -8] = 4[x + -11] [-8 + -8x] = 4[x + -11] Reorder the terms: -8 + -8x = 4[-11 + x] -8 + -8x = [-11 * 4 + x * 4] -8 + -8x = [-44 + 4x] Solving -8 + -8x = -44 + 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 = -44 + 4x + -4x Combine like terms: -8x + -4x = -12x -8 + -12x = -44 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -12x = -44 + 0 -8 + -12x = -44 Add '8' to each side of the equation. -8 + 8 + -12x = -44 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = -44 + 8 -12x = -44 + 8 Combine like terms: -44 + 8 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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