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Simplifying 8(1 + 4x) = -40 + 8x (1 * 8 + 4x * 8) = -40 + 8x (8 + 32x) = -40 + 8x Solving 8 + 32x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 32x + -8x = -40 + 8x + -8x Combine like terms: 32x + -8x = 24x 8 + 24x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 24x = -40 + 0 8 + 24x = -40 Add '-8' to each side of the equation. 8 + -8 + 24x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 24x = -40 + -8 24x = -40 + -8 Combine like terms: -40 + -8 = -48 24x = -48 Divide each side by '24'. x = -2 Simplifying x = -2
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