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Simplifying -14x + 35 = -12x + 10 + 3x Reorder the terms: 35 + -14x = -12x + 10 + 3x Reorder the terms: 35 + -14x = 10 + -12x + 3x Combine like terms: -12x + 3x = -9x 35 + -14x = 10 + -9x Solving 35 + -14x = 10 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 35 + -14x + 9x = 10 + -9x + 9x Combine like terms: -14x + 9x = -5x 35 + -5x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 35 + -5x = 10 + 0 35 + -5x = 10 Add '-35' to each side of the equation. 35 + -35 + -5x = 10 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = 10 + -35 -5x = 10 + -35 Combine like terms: 10 + -35 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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