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Simplifying 5(x + -2) = -2(x + 12) Reorder the terms: 5(-2 + x) = -2(x + 12) (-2 * 5 + x * 5) = -2(x + 12) (-10 + 5x) = -2(x + 12) Reorder the terms: -10 + 5x = -2(12 + x) -10 + 5x = (12 * -2 + x * -2) -10 + 5x = (-24 + -2x) Solving -10 + 5x = -24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 5x + 2x = -24 + -2x + 2x Combine like terms: 5x + 2x = 7x -10 + 7x = -24 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 7x = -24 + 0 -10 + 7x = -24 Add '10' to each side of the equation. -10 + 10 + 7x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = -24 + 10 7x = -24 + 10 Combine like terms: -24 + 10 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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