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Simplifying 2(x + -9) = 8x + 24 Reorder the terms: 2(-9 + x) = 8x + 24 (-9 * 2 + x * 2) = 8x + 24 (-18 + 2x) = 8x + 24 Reorder the terms: -18 + 2x = 24 + 8x Solving -18 + 2x = 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. -18 + 2x + -8x = 24 + 8x + -8x Combine like terms: 2x + -8x = -6x -18 + -6x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -6x = 24 + 0 -18 + -6x = 24 Add '18' to each side of the equation. -18 + 18 + -6x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = 24 + 18 -6x = 24 + 18 Combine like terms: 24 + 18 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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