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Simplifying 16x + 12(x + 3) + 14(x + -1) = 190 Reorder the terms: 16x + 12(3 + x) + 14(x + -1) = 190 16x + (3 * 12 + x * 12) + 14(x + -1) = 190 16x + (36 + 12x) + 14(x + -1) = 190 Reorder the terms: 16x + 36 + 12x + 14(-1 + x) = 190 16x + 36 + 12x + (-1 * 14 + x * 14) = 190 16x + 36 + 12x + (-14 + 14x) = 190 Reorder the terms: 36 + -14 + 16x + 12x + 14x = 190 Combine like terms: 36 + -14 = 22 22 + 16x + 12x + 14x = 190 Combine like terms: 16x + 12x = 28x 22 + 28x + 14x = 190 Combine like terms: 28x + 14x = 42x 22 + 42x = 190 Solving 22 + 42x = 190 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 42x = 190 + -22 Combine like terms: 22 + -22 = 0 0 + 42x = 190 + -22 42x = 190 + -22 Combine like terms: 190 + -22 = 168 42x = 168 Divide each side by '42'. x = 4 Simplifying x = 4
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