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Simplifying x + 14 = 2(x + 6) Reorder the terms: 14 + x = 2(x + 6) Reorder the terms: 14 + x = 2(6 + x) 14 + x = (6 * 2 + x * 2) 14 + x = (12 + 2x) Solving 14 + x = 12 + 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. 14 + x + -2x = 12 + 2x + -2x Combine like terms: x + -2x = -1x 14 + -1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -1x = 12 + 0 14 + -1x = 12 Add '-14' to each side of the equation. 14 + -14 + -1x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 12 + -14 -1x = 12 + -14 Combine like terms: 12 + -14 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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