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Simplifying 34 + -51x + 25x + -30 = 12 + -32x + 10 Reorder the terms: 34 + -30 + -51x + 25x = 12 + -32x + 10 Combine like terms: 34 + -30 = 4 4 + -51x + 25x = 12 + -32x + 10 Combine like terms: -51x + 25x = -26x 4 + -26x = 12 + -32x + 10 Reorder the terms: 4 + -26x = 12 + 10 + -32x Combine like terms: 12 + 10 = 22 4 + -26x = 22 + -32x Solving 4 + -26x = 22 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 4 + -26x + 32x = 22 + -32x + 32x Combine like terms: -26x + 32x = 6x 4 + 6x = 22 + -32x + 32x Combine like terms: -32x + 32x = 0 4 + 6x = 22 + 0 4 + 6x = 22 Add '-4' to each side of the equation. 4 + -4 + 6x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 22 + -4 6x = 22 + -4 Combine like terms: 22 + -4 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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