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Simplifying -4x + -74 = -8x + 42 Reorder the terms: -74 + -4x = -8x + 42 Reorder the terms: -74 + -4x = 42 + -8x Solving -74 + -4x = 42 + -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 + -4x + 8x = 42 + -8x + 8x Combine like terms: -4x + 8x = 4x -74 + 4x = 42 + -8x + 8x Combine like terms: -8x + 8x = 0 -74 + 4x = 42 + 0 -74 + 4x = 42 Add '74' to each side of the equation. -74 + 74 + 4x = 42 + 74 Combine like terms: -74 + 74 = 0 0 + 4x = 42 + 74 4x = 42 + 74 Combine like terms: 42 + 74 = 116 4x = 116 Divide each side by '4'. x = 29 Simplifying x = 29
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