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Simplifying -2(1 + -1x) + 3(x + 1) = 26 (1 * -2 + -1x * -2) + 3(x + 1) = 26 (-2 + 2x) + 3(x + 1) = 26 Reorder the terms: -2 + 2x + 3(1 + x) = 26 -2 + 2x + (1 * 3 + x * 3) = 26 -2 + 2x + (3 + 3x) = 26 Reorder the terms: -2 + 3 + 2x + 3x = 26 Combine like terms: -2 + 3 = 1 1 + 2x + 3x = 26 Combine like terms: 2x + 3x = 5x 1 + 5x = 26 Solving 1 + 5x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 26 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 26 + -1 5x = 26 + -1 Combine like terms: 26 + -1 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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