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Simplifying 3x + 15 + (11x + -5) = 47 Reorder the terms: 3x + 15 + (-5 + 11x) = 47 Remove parenthesis around (-5 + 11x) 3x + 15 + -5 + 11x = 47 Reorder the terms: 15 + -5 + 3x + 11x = 47 Combine like terms: 15 + -5 = 10 10 + 3x + 11x = 47 Combine like terms: 3x + 11x = 14x 10 + 14x = 47 Solving 10 + 14x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 14x = 47 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = 47 + -10 14x = 47 + -10 Combine like terms: 47 + -10 = 37 14x = 37 Divide each side by '14'. x = 2.642857143 Simplifying x = 2.642857143
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