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Simplifying 4x + 35 = 42 + -3x Reorder the terms: 35 + 4x = 42 + -3x Solving 35 + 4x = 42 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 35 + 4x + 3x = 42 + -3x + 3x Combine like terms: 4x + 3x = 7x 35 + 7x = 42 + -3x + 3x Combine like terms: -3x + 3x = 0 35 + 7x = 42 + 0 35 + 7x = 42 Add '-35' to each side of the equation. 35 + -35 + 7x = 42 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 42 + -35 7x = 42 + -35 Combine like terms: 42 + -35 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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