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Simplifying 4(x + 8) = 38 + -2X Reorder the terms: 4(8 + x) = 38 + -2X (8 * 4 + x * 4) = 38 + -2X (32 + 4x) = 38 + -2X Solving 32 + 4x = 38 + -2X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 4x = 38 + -32 + -2X Combine like terms: 32 + -32 = 0 0 + 4x = 38 + -32 + -2X 4x = 38 + -32 + -2X Combine like terms: 38 + -32 = 6 4x = 6 + -2X Divide each side by '4'. x = 1.5 + -0.5X Simplifying x = 1.5 + -0.5X
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