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Simplifying 2(2x + -7) + 2(4x + 3) = 112 Reorder the terms: 2(-7 + 2x) + 2(4x + 3) = 112 (-7 * 2 + 2x * 2) + 2(4x + 3) = 112 (-14 + 4x) + 2(4x + 3) = 112 Reorder the terms: -14 + 4x + 2(3 + 4x) = 112 -14 + 4x + (3 * 2 + 4x * 2) = 112 -14 + 4x + (6 + 8x) = 112 Reorder the terms: -14 + 6 + 4x + 8x = 112 Combine like terms: -14 + 6 = -8 -8 + 4x + 8x = 112 Combine like terms: 4x + 8x = 12x -8 + 12x = 112 Solving -8 + 12x = 112 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12x = 112 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 112 + 8 12x = 112 + 8 Combine like terms: 112 + 8 = 120 12x = 120 Divide each side by '12'. x = 10 Simplifying x = 10
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