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Simplifying 6x + -34 + 4x = 80 + -2x + 30 Reorder the terms: -34 + 6x + 4x = 80 + -2x + 30 Combine like terms: 6x + 4x = 10x -34 + 10x = 80 + -2x + 30 Reorder the terms: -34 + 10x = 80 + 30 + -2x Combine like terms: 80 + 30 = 110 -34 + 10x = 110 + -2x Solving -34 + 10x = 110 + -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. -34 + 10x + 2x = 110 + -2x + 2x Combine like terms: 10x + 2x = 12x -34 + 12x = 110 + -2x + 2x Combine like terms: -2x + 2x = 0 -34 + 12x = 110 + 0 -34 + 12x = 110 Add '34' to each side of the equation. -34 + 34 + 12x = 110 + 34 Combine like terms: -34 + 34 = 0 0 + 12x = 110 + 34 12x = 110 + 34 Combine like terms: 110 + 34 = 144 12x = 144 Divide each side by '12'. x = 12 Simplifying x = 12
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