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Simplifying 8(x + 1) = -4x + -40 Reorder the terms: 8(1 + x) = -4x + -40 (1 * 8 + x * 8) = -4x + -40 (8 + 8x) = -4x + -40 Reorder the terms: 8 + 8x = -40 + -4x Solving 8 + 8x = -40 + -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 = -40 + -4x + 4x Combine like terms: 8x + 4x = 12x 8 + 12x = -40 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 12x = -40 + 0 8 + 12x = -40 Add '-8' to each side of the equation. 8 + -8 + 12x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = -40 + -8 12x = -40 + -8 Combine like terms: -40 + -8 = -48 12x = -48 Divide each side by '12'. x = -4 Simplifying x = -4
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