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Simplifying -2(5 + 3x) = -24 + -8x (5 * -2 + 3x * -2) = -24 + -8x (-10 + -6x) = -24 + -8x Solving -10 + -6x = -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. -10 + -6x + 8x = -24 + -8x + 8x Combine like terms: -6x + 8x = 2x -10 + 2x = -24 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 2x = -24 + 0 -10 + 2x = -24 Add '10' to each side of the equation. -10 + 10 + 2x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -24 + 10 2x = -24 + 10 Combine like terms: -24 + 10 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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