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Simplifying 3(16x + 14) = 3(34 + x) Reorder the terms: 3(14 + 16x) = 3(34 + x) (14 * 3 + 16x * 3) = 3(34 + x) (42 + 48x) = 3(34 + x) 42 + 48x = (34 * 3 + x * 3) 42 + 48x = (102 + 3x) Solving 42 + 48x = 102 + 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. 42 + 48x + -3x = 102 + 3x + -3x Combine like terms: 48x + -3x = 45x 42 + 45x = 102 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 45x = 102 + 0 42 + 45x = 102 Add '-42' to each side of the equation. 42 + -42 + 45x = 102 + -42 Combine like terms: 42 + -42 = 0 0 + 45x = 102 + -42 45x = 102 + -42 Combine like terms: 102 + -42 = 60 45x = 60 Divide each side by '45'. x = 1.333333333 Simplifying x = 1.333333333
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