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Simplifying x + 11 = 2(x + 5) Reorder the terms: 11 + x = 2(x + 5) Reorder the terms: 11 + x = 2(5 + x) 11 + x = (5 * 2 + x * 2) 11 + x = (10 + 2x) Solving 11 + x = 10 + 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. 11 + x + -2x = 10 + 2x + -2x Combine like terms: x + -2x = -1x 11 + -1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + -1x = 10 + 0 11 + -1x = 10 Add '-11' to each side of the equation. 11 + -11 + -1x = 10 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 10 + -11 -1x = 10 + -11 Combine like terms: 10 + -11 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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