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Simplifying 3x + -35 = 2x + 7 Reorder the terms: -35 + 3x = 2x + 7 Reorder the terms: -35 + 3x = 7 + 2x Solving -35 + 3x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -35 + 3x + -2x = 7 + 2x + -2x Combine like terms: 3x + -2x = 1x -35 + 1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -35 + 1x = 7 + 0 -35 + 1x = 7 Add '35' to each side of the equation. -35 + 35 + 1x = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = 7 + 35 1x = 7 + 35 Combine like terms: 7 + 35 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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