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Simplifying -74 + 12x = 38 + 8x Solving -74 + 12x = 38 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -74 + 12x + -8x = 38 + 8x + -8x Combine like terms: 12x + -8x = 4x -74 + 4x = 38 + 8x + -8x Combine like terms: 8x + -8x = 0 -74 + 4x = 38 + 0 -74 + 4x = 38 Add '74' to each side of the equation. -74 + 74 + 4x = 38 + 74 Combine like terms: -74 + 74 = 0 0 + 4x = 38 + 74 4x = 38 + 74 Combine like terms: 38 + 74 = 112 4x = 112 Divide each side by '4'. x = 28 Simplifying x = 28
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