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Simplifying 5x + 46 = 2x + 16 Reorder the terms: 46 + 5x = 2x + 16 Reorder the terms: 46 + 5x = 16 + 2x Solving 46 + 5x = 16 + 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. 46 + 5x + -2x = 16 + 2x + -2x Combine like terms: 5x + -2x = 3x 46 + 3x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 46 + 3x = 16 + 0 46 + 3x = 16 Add '-46' to each side of the equation. 46 + -46 + 3x = 16 + -46 Combine like terms: 46 + -46 = 0 0 + 3x = 16 + -46 3x = 16 + -46 Combine like terms: 16 + -46 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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