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Simplifying 6(x + 2) + -1(x + 2) = 25 Reorder the terms: 6(2 + x) + -1(x + 2) = 25 (2 * 6 + x * 6) + -1(x + 2) = 25 (12 + 6x) + -1(x + 2) = 25 Reorder the terms: 12 + 6x + -1(2 + x) = 25 12 + 6x + (2 * -1 + x * -1) = 25 12 + 6x + (-2 + -1x) = 25 Reorder the terms: 12 + -2 + 6x + -1x = 25 Combine like terms: 12 + -2 = 10 10 + 6x + -1x = 25 Combine like terms: 6x + -1x = 5x 10 + 5x = 25 Solving 10 + 5x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5x = 25 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 25 + -10 5x = 25 + -10 Combine like terms: 25 + -10 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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