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Simplifying 2(x + 6) + -1(x + 1) = 16 Reorder the terms: 2(6 + x) + -1(x + 1) = 16 (6 * 2 + x * 2) + -1(x + 1) = 16 (12 + 2x) + -1(x + 1) = 16 Reorder the terms: 12 + 2x + -1(1 + x) = 16 12 + 2x + (1 * -1 + x * -1) = 16 12 + 2x + (-1 + -1x) = 16 Reorder the terms: 12 + -1 + 2x + -1x = 16 Combine like terms: 12 + -1 = 11 11 + 2x + -1x = 16 Combine like terms: 2x + -1x = 1x 11 + 1x = 16 Solving 11 + 1x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1x = 16 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 16 + -11 1x = 16 + -11 Combine like terms: 16 + -11 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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