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Simplifying 8[x + 5] = -4[x + 8] Reorder the terms: 8[5 + x] = -4[x + 8] [5 * 8 + x * 8] = -4[x + 8] [40 + 8x] = -4[x + 8] Reorder the terms: 40 + 8x = -4[8 + x] 40 + 8x = [8 * -4 + x * -4] 40 + 8x = [-32 + -4x] Solving 40 + 8x = -32 + -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. 40 + 8x + 4x = -32 + -4x + 4x Combine like terms: 8x + 4x = 12x 40 + 12x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 40 + 12x = -32 + 0 40 + 12x = -32 Add '-40' to each side of the equation. 40 + -40 + 12x = -32 + -40 Combine like terms: 40 + -40 = 0 0 + 12x = -32 + -40 12x = -32 + -40 Combine like terms: -32 + -40 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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