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Simplifying -24 = 2(3x + 5) + 8 Reorder the terms: -24 = 2(5 + 3x) + 8 -24 = (5 * 2 + 3x * 2) + 8 -24 = (10 + 6x) + 8 Reorder the terms: -24 = 10 + 8 + 6x Combine like terms: 10 + 8 = 18 -24 = 18 + 6x Solving -24 = 18 + 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. -24 + -6x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + -6x = 18 + 0 -24 + -6x = 18 Add '24' to each side of the equation. -24 + 24 + -6x = 18 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 18 + 24 -6x = 18 + 24 Combine like terms: 18 + 24 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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