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Simplifying 6(x + 2) + -5(x + -2) = 0 Reorder the terms: 6(2 + x) + -5(x + -2) = 0 (2 * 6 + x * 6) + -5(x + -2) = 0 (12 + 6x) + -5(x + -2) = 0 Reorder the terms: 12 + 6x + -5(-2 + x) = 0 12 + 6x + (-2 * -5 + x * -5) = 0 12 + 6x + (10 + -5x) = 0 Reorder the terms: 12 + 10 + 6x + -5x = 0 Combine like terms: 12 + 10 = 22 22 + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x 22 + 1x = 0 Solving 22 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 0 + -22 1x = 0 + -22 Combine like terms: 0 + -22 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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