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Simplifying 2(x + -4) + 4(2x + 5) = 112 Reorder the terms: 2(-4 + x) + 4(2x + 5) = 112 (-4 * 2 + x * 2) + 4(2x + 5) = 112 (-8 + 2x) + 4(2x + 5) = 112 Reorder the terms: -8 + 2x + 4(5 + 2x) = 112 -8 + 2x + (5 * 4 + 2x * 4) = 112 -8 + 2x + (20 + 8x) = 112 Reorder the terms: -8 + 20 + 2x + 8x = 112 Combine like terms: -8 + 20 = 12 12 + 2x + 8x = 112 Combine like terms: 2x + 8x = 10x 12 + 10x = 112 Solving 12 + 10x = 112 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 10x = 112 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 112 + -12 10x = 112 + -12 Combine like terms: 112 + -12 = 100 10x = 100 Divide each side by '10'. x = 10 Simplifying x = 10
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