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Simplifying -2x + 26 = -9(x + 1) Reorder the terms: 26 + -2x = -9(x + 1) Reorder the terms: 26 + -2x = -9(1 + x) 26 + -2x = (1 * -9 + x * -9) 26 + -2x = (-9 + -9x) Solving 26 + -2x = -9 + -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. 26 + -2x + 9x = -9 + -9x + 9x Combine like terms: -2x + 9x = 7x 26 + 7x = -9 + -9x + 9x Combine like terms: -9x + 9x = 0 26 + 7x = -9 + 0 26 + 7x = -9 Add '-26' to each side of the equation. 26 + -26 + 7x = -9 + -26 Combine like terms: 26 + -26 = 0 0 + 7x = -9 + -26 7x = -9 + -26 Combine like terms: -9 + -26 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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