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Simplifying 4x + 2 + 11x + 7 = 114 Reorder the terms: 2 + 7 + 4x + 11x = 114 Combine like terms: 2 + 7 = 9 9 + 4x + 11x = 114 Combine like terms: 4x + 11x = 15x 9 + 15x = 114 Solving 9 + 15x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 15x = 114 + -9 Combine like terms: 9 + -9 = 0 0 + 15x = 114 + -9 15x = 114 + -9 Combine like terms: 114 + -9 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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