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Simplifying 15 + -6x = 9 + -25(x + -1) Reorder the terms: 15 + -6x = 9 + -25(-1 + x) 15 + -6x = 9 + (-1 * -25 + x * -25) 15 + -6x = 9 + (25 + -25x) Combine like terms: 9 + 25 = 34 15 + -6x = 34 + -25x Solving 15 + -6x = 34 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 15 + -6x + 25x = 34 + -25x + 25x Combine like terms: -6x + 25x = 19x 15 + 19x = 34 + -25x + 25x Combine like terms: -25x + 25x = 0 15 + 19x = 34 + 0 15 + 19x = 34 Add '-15' to each side of the equation. 15 + -15 + 19x = 34 + -15 Combine like terms: 15 + -15 = 0 0 + 19x = 34 + -15 19x = 34 + -15 Combine like terms: 34 + -15 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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