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Simplifying 3x + 14 = 5(6 + x) Reorder the terms: 14 + 3x = 5(6 + x) 14 + 3x = (6 * 5 + x * 5) 14 + 3x = (30 + 5x) Solving 14 + 3x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 3x + -5x = 30 + 5x + -5x Combine like terms: 3x + -5x = -2x 14 + -2x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -2x = 30 + 0 14 + -2x = 30 Add '-14' to each side of the equation. 14 + -14 + -2x = 30 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 30 + -14 -2x = 30 + -14 Combine like terms: 30 + -14 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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