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Simplifying -8x + 40 = -8(3 + 5x) Reorder the terms: 40 + -8x = -8(3 + 5x) 40 + -8x = (3 * -8 + 5x * -8) 40 + -8x = (-24 + -40x) Solving 40 + -8x = -24 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 40 + -8x + 40x = -24 + -40x + 40x Combine like terms: -8x + 40x = 32x 40 + 32x = -24 + -40x + 40x Combine like terms: -40x + 40x = 0 40 + 32x = -24 + 0 40 + 32x = -24 Add '-40' to each side of the equation. 40 + -40 + 32x = -24 + -40 Combine like terms: 40 + -40 = 0 0 + 32x = -24 + -40 32x = -24 + -40 Combine like terms: -24 + -40 = -64 32x = -64 Divide each side by '32'. x = -2 Simplifying x = -2
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