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Simplifying 3x + 2 = 5x + 16 Reorder the terms: 2 + 3x = 5x + 16 Reorder the terms: 2 + 3x = 16 + 5x Solving 2 + 3x = 16 + 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. 2 + 3x + -5x = 16 + 5x + -5x Combine like terms: 3x + -5x = -2x 2 + -2x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -2x = 16 + 0 2 + -2x = 16 Add '-2' to each side of the equation. 2 + -2 + -2x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 16 + -2 -2x = 16 + -2 Combine like terms: 16 + -2 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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