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Simplifying 2(x + -8) + 8(x + 4) = 38 Reorder the terms: 2(-8 + x) + 8(x + 4) = 38 (-8 * 2 + x * 2) + 8(x + 4) = 38 (-16 + 2x) + 8(x + 4) = 38 Reorder the terms: -16 + 2x + 8(4 + x) = 38 -16 + 2x + (4 * 8 + x * 8) = 38 -16 + 2x + (32 + 8x) = 38 Reorder the terms: -16 + 32 + 2x + 8x = 38 Combine like terms: -16 + 32 = 16 16 + 2x + 8x = 38 Combine like terms: 2x + 8x = 10x 16 + 10x = 38 Solving 16 + 10x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 10x = 38 + -16 Combine like terms: 16 + -16 = 0 0 + 10x = 38 + -16 10x = 38 + -16 Combine like terms: 38 + -16 = 22 10x = 22 Divide each side by '10'. x = 2.2 Simplifying x = 2.2
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