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Simplifying -8x + 40 = -4(6 + 6x) Reorder the terms: 40 + -8x = -4(6 + 6x) 40 + -8x = (6 * -4 + 6x * -4) 40 + -8x = (-24 + -24x) Solving 40 + -8x = -24 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 40 + -8x + 24x = -24 + -24x + 24x Combine like terms: -8x + 24x = 16x 40 + 16x = -24 + -24x + 24x Combine like terms: -24x + 24x = 0 40 + 16x = -24 + 0 40 + 16x = -24 Add '-40' to each side of the equation. 40 + -40 + 16x = -24 + -40 Combine like terms: 40 + -40 = 0 0 + 16x = -24 + -40 16x = -24 + -40 Combine like terms: -24 + -40 = -64 16x = -64 Divide each side by '16'. x = -4 Simplifying x = -4
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