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Simplifying 3x + 34 = 41 + -7x Reorder the terms: 34 + 3x = 41 + -7x Solving 34 + 3x = 41 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 34 + 3x + 7x = 41 + -7x + 7x Combine like terms: 3x + 7x = 10x 34 + 10x = 41 + -7x + 7x Combine like terms: -7x + 7x = 0 34 + 10x = 41 + 0 34 + 10x = 41 Add '-34' to each side of the equation. 34 + -34 + 10x = 41 + -34 Combine like terms: 34 + -34 = 0 0 + 10x = 41 + -34 10x = 41 + -34 Combine like terms: 41 + -34 = 7 10x = 7 Divide each side by '10'. x = 0.7 Simplifying x = 0.7
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