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Simplifying -34 + 10x = 47 + 7x Solving -34 + 10x = 47 + 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 + 10x + -7x = 47 + 7x + -7x Combine like terms: 10x + -7x = 3x -34 + 3x = 47 + 7x + -7x Combine like terms: 7x + -7x = 0 -34 + 3x = 47 + 0 -34 + 3x = 47 Add '34' to each side of the equation. -34 + 34 + 3x = 47 + 34 Combine like terms: -34 + 34 = 0 0 + 3x = 47 + 34 3x = 47 + 34 Combine like terms: 47 + 34 = 81 3x = 81 Divide each side by '3'. x = 27 Simplifying x = 27
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