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Simplifying 3x + 47 + 7x + -13 = 114 Reorder the terms: 47 + -13 + 3x + 7x = 114 Combine like terms: 47 + -13 = 34 34 + 3x + 7x = 114 Combine like terms: 3x + 7x = 10x 34 + 10x = 114 Solving 34 + 10x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 10x = 114 + -34 Combine like terms: 34 + -34 = 0 0 + 10x = 114 + -34 10x = 114 + -34 Combine like terms: 114 + -34 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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