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Simplifying 7x + 16 = 3x + 47 Reorder the terms: 16 + 7x = 3x + 47 Reorder the terms: 16 + 7x = 47 + 3x Solving 16 + 7x = 47 + 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 + 7x + -3x = 47 + 3x + -3x Combine like terms: 7x + -3x = 4x 16 + 4x = 47 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + 4x = 47 + 0 16 + 4x = 47 Add '-16' to each side of the equation. 16 + -16 + 4x = 47 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 47 + -16 4x = 47 + -16 Combine like terms: 47 + -16 = 31 4x = 31 Divide each side by '4'. x = 7.75 Simplifying x = 7.75
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