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Simplifying (5x) + 2 = (3x) + 14 Reorder the terms: 2 + (5x) = (3x) + 14 Reorder the terms: 2 + (5x) = 14 + (3x) Solving 2 + (5x) = 14 + (3x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-3x)' to each side of the equation. 2 + (5x) + (-3x) = 14 + (3x) + (-3x) Combine like terms: (5x) + (-3x) = 2x 2 + 2x = 14 + (3x) + (-3x) Combine like terms: (3x) + (-3x) = 0 2 + 2x = 14 + 0 2 + 2x = 14 Add '-2' to each side of the equation. 2 + -2 + 2x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 14 + -2 2x = 14 + -2 Combine like terms: 14 + -2 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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