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Simplifying 12(x + -2) = -49(x + 10) Reorder the terms: 12(-2 + x) = -49(x + 10) (-2 * 12 + x * 12) = -49(x + 10) (-24 + 12x) = -49(x + 10) Reorder the terms: -24 + 12x = -49(10 + x) -24 + 12x = (10 * -49 + x * -49) -24 + 12x = (-490 + -49x) Solving -24 + 12x = -490 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. -24 + 12x + 49x = -490 + -49x + 49x Combine like terms: 12x + 49x = 61x -24 + 61x = -490 + -49x + 49x Combine like terms: -49x + 49x = 0 -24 + 61x = -490 + 0 -24 + 61x = -490 Add '24' to each side of the equation. -24 + 24 + 61x = -490 + 24 Combine like terms: -24 + 24 = 0 0 + 61x = -490 + 24 61x = -490 + 24 Combine like terms: -490 + 24 = -466 61x = -466 Divide each side by '61'. x = -7.639344262 Simplifying x = -7.639344262
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