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Simplifying 5x + 16 = 51 + -2x Reorder the terms: 16 + 5x = 51 + -2x Solving 16 + 5x = 51 + -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. 16 + 5x + 2x = 51 + -2x + 2x Combine like terms: 5x + 2x = 7x 16 + 7x = 51 + -2x + 2x Combine like terms: -2x + 2x = 0 16 + 7x = 51 + 0 16 + 7x = 51 Add '-16' to each side of the equation. 16 + -16 + 7x = 51 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 51 + -16 7x = 51 + -16 Combine like terms: 51 + -16 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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