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Simplifying x + 1 = 2(5 + x) Reorder the terms: 1 + x = 2(5 + x) 1 + x = (5 * 2 + x * 2) 1 + x = (10 + 2x) Solving 1 + 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. 1 + x + -2x = 10 + 2x + -2x Combine like terms: x + -2x = -1x 1 + -1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -1x = 10 + 0 1 + -1x = 10 Add '-1' to each side of the equation. 1 + -1 + -1x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 10 + -1 -1x = 10 + -1 Combine like terms: 10 + -1 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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