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Simplifying 3(2x + 4) + 2(4x + 3) = 158 Reorder the terms: 3(4 + 2x) + 2(4x + 3) = 158 (4 * 3 + 2x * 3) + 2(4x + 3) = 158 (12 + 6x) + 2(4x + 3) = 158 Reorder the terms: 12 + 6x + 2(3 + 4x) = 158 12 + 6x + (3 * 2 + 4x * 2) = 158 12 + 6x + (6 + 8x) = 158 Reorder the terms: 12 + 6 + 6x + 8x = 158 Combine like terms: 12 + 6 = 18 18 + 6x + 8x = 158 Combine like terms: 6x + 8x = 14x 18 + 14x = 158 Solving 18 + 14x = 158 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 14x = 158 + -18 Combine like terms: 18 + -18 = 0 0 + 14x = 158 + -18 14x = 158 + -18 Combine like terms: 158 + -18 = 140 14x = 140 Divide each side by '14'. x = 10 Simplifying x = 10
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