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Simplifying -42 + 8x = 4x + 18 Reorder the terms: -42 + 8x = 18 + 4x Solving -42 + 8x = 18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -42 + 8x + -4x = 18 + 4x + -4x Combine like terms: 8x + -4x = 4x -42 + 4x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 4x = 18 + 0 -42 + 4x = 18 Add '42' to each side of the equation. -42 + 42 + 4x = 18 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = 18 + 42 4x = 18 + 42 Combine like terms: 18 + 42 = 60 4x = 60 Divide each side by '4'. x = 15 Simplifying x = 15
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