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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 = -20 -20 + 4x + 8x = 112 Combine like terms: 4x + 8x = 12x -20 + 12x = 112 Solving -20 + 12x = 112 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 12x = 112 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = 112 + 20 12x = 112 + 20 Combine like terms: 112 + 20 = 132 12x = 132 Divide each side by '12'. x = 11 Simplifying x = 11
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