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Simplifying 4 + 8x = -6(x + 4) Reorder the terms: 4 + 8x = -6(4 + x) 4 + 8x = (4 * -6 + x * -6) 4 + 8x = (-24 + -6x) Solving 4 + 8x = -24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 8x + 6x = -24 + -6x + 6x Combine like terms: 8x + 6x = 14x 4 + 14x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 14x = -24 + 0 4 + 14x = -24 Add '-4' to each side of the equation. 4 + -4 + 14x = -24 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = -24 + -4 14x = -24 + -4 Combine like terms: -24 + -4 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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