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Simplifying 6(2x + 9) + 2(4x + -1) = 112 Reorder the terms: 6(9 + 2x) + 2(4x + -1) = 112 (9 * 6 + 2x * 6) + 2(4x + -1) = 112 (54 + 12x) + 2(4x + -1) = 112 Reorder the terms: 54 + 12x + 2(-1 + 4x) = 112 54 + 12x + (-1 * 2 + 4x * 2) = 112 54 + 12x + (-2 + 8x) = 112 Reorder the terms: 54 + -2 + 12x + 8x = 112 Combine like terms: 54 + -2 = 52 52 + 12x + 8x = 112 Combine like terms: 12x + 8x = 20x 52 + 20x = 112 Solving 52 + 20x = 112 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 20x = 112 + -52 Combine like terms: 52 + -52 = 0 0 + 20x = 112 + -52 20x = 112 + -52 Combine like terms: 112 + -52 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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