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Simplifying 12x + -25 = 5(2x + -1) Reorder the terms: -25 + 12x = 5(2x + -1) Reorder the terms: -25 + 12x = 5(-1 + 2x) -25 + 12x = (-1 * 5 + 2x * 5) -25 + 12x = (-5 + 10x) Solving -25 + 12x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -25 + 12x + -10x = -5 + 10x + -10x Combine like terms: 12x + -10x = 2x -25 + 2x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -25 + 2x = -5 + 0 -25 + 2x = -5 Add '25' to each side of the equation. -25 + 25 + 2x = -5 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = -5 + 25 2x = -5 + 25 Combine like terms: -5 + 25 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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