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Simplifying -4x + 12 + 10x + -20 = 34 Reorder the terms: 12 + -20 + -4x + 10x = 34 Combine like terms: 12 + -20 = -8 -8 + -4x + 10x = 34 Combine like terms: -4x + 10x = 6x -8 + 6x = 34 Solving -8 + 6x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6x = 34 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 34 + 8 6x = 34 + 8 Combine like terms: 34 + 8 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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