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Simplifying 2x + 14 = 2(1 + 3x) Reorder the terms: 14 + 2x = 2(1 + 3x) 14 + 2x = (1 * 2 + 3x * 2) 14 + 2x = (2 + 6x) Solving 14 + 2x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 2x + -6x = 2 + 6x + -6x Combine like terms: 2x + -6x = -4x 14 + -4x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -4x = 2 + 0 14 + -4x = 2 Add '-14' to each side of the equation. 14 + -14 + -4x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = 2 + -14 -4x = 2 + -14 Combine like terms: 2 + -14 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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