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Simplifying 5(4 + 6x) = -24 + 8x (4 * 5 + 6x * 5) = -24 + 8x (20 + 30x) = -24 + 8x Solving 20 + 30x = -24 + 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. 20 + 30x + -8x = -24 + 8x + -8x Combine like terms: 30x + -8x = 22x 20 + 22x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + 22x = -24 + 0 20 + 22x = -24 Add '-20' to each side of the equation. 20 + -20 + 22x = -24 + -20 Combine like terms: 20 + -20 = 0 0 + 22x = -24 + -20 22x = -24 + -20 Combine like terms: -24 + -20 = -44 22x = -44 Divide each side by '22'. x = -2 Simplifying x = -2
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