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Simplifying 8(1 + 3x) = -40 + 8x (1 * 8 + 3x * 8) = -40 + 8x (8 + 24x) = -40 + 8x Solving 8 + 24x = -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 + 24x + -8x = -40 + 8x + -8x Combine like terms: 24x + -8x = 16x 8 + 16x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 16x = -40 + 0 8 + 16x = -40 Add '-8' to each side of the equation. 8 + -8 + 16x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = -40 + -8 16x = -40 + -8 Combine like terms: -40 + -8 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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