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Simplifying 2x + 2(-4x + 9) = -24 Reorder the terms: 2x + 2(9 + -4x) = -24 2x + (9 * 2 + -4x * 2) = -24 2x + (18 + -8x) = -24 Reorder the terms: 18 + 2x + -8x = -24 Combine like terms: 2x + -8x = -6x 18 + -6x = -24 Solving 18 + -6x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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