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Simplifying 4x + 14 = 2(x + 1) Reorder the terms: 14 + 4x = 2(x + 1) Reorder the terms: 14 + 4x = 2(1 + x) 14 + 4x = (1 * 2 + x * 2) 14 + 4x = (2 + 2x) Solving 14 + 4x = 2 + 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 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x 14 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 2x = 2 + 0 14 + 2x = 2 Add '-14' to each side of the equation. 14 + -14 + 2x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 2 + -14 2x = 2 + -14 Combine like terms: 2 + -14 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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