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Simplifying 8x + -42 = 4x + 35 Reorder the terms: -42 + 8x = 4x + 35 Reorder the terms: -42 + 8x = 35 + 4x Solving -42 + 8x = 35 + 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 = 35 + 4x + -4x Combine like terms: 8x + -4x = 4x -42 + 4x = 35 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 4x = 35 + 0 -42 + 4x = 35 Add '42' to each side of the equation. -42 + 42 + 4x = 35 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = 35 + 42 4x = 35 + 42 Combine like terms: 35 + 42 = 77 4x = 77 Divide each side by '4'. x = 19.25 Simplifying x = 19.25
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