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Simplifying 5x + 16 = 3x + 42 Reorder the terms: 16 + 5x = 3x + 42 Reorder the terms: 16 + 5x = 42 + 3x Solving 16 + 5x = 42 + 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. 16 + 5x + -3x = 42 + 3x + -3x Combine like terms: 5x + -3x = 2x 16 + 2x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + 2x = 42 + 0 16 + 2x = 42 Add '-16' to each side of the equation. 16 + -16 + 2x = 42 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 42 + -16 2x = 42 + -16 Combine like terms: 42 + -16 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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