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Simplifying 8x + 8(3 + 6x) = -6(4 + -8x) 8x + (3 * 8 + 6x * 8) = -6(4 + -8x) 8x + (24 + 48x) = -6(4 + -8x) Reorder the terms: 24 + 8x + 48x = -6(4 + -8x) Combine like terms: 8x + 48x = 56x 24 + 56x = -6(4 + -8x) 24 + 56x = (4 * -6 + -8x * -6) 24 + 56x = (-24 + 48x) Solving 24 + 56x = -24 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 24 + 56x + -48x = -24 + 48x + -48x Combine like terms: 56x + -48x = 8x 24 + 8x = -24 + 48x + -48x Combine like terms: 48x + -48x = 0 24 + 8x = -24 + 0 24 + 8x = -24 Add '-24' to each side of the equation. 24 + -24 + 8x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = -24 + -24 8x = -24 + -24 Combine like terms: -24 + -24 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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