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Simplifying 26x + -13 = 5(5x + 5) + -12 Reorder the terms: -13 + 26x = 5(5x + 5) + -12 Reorder the terms: -13 + 26x = 5(5 + 5x) + -12 -13 + 26x = (5 * 5 + 5x * 5) + -12 -13 + 26x = (25 + 25x) + -12 Reorder the terms: -13 + 26x = 25 + -12 + 25x Combine like terms: 25 + -12 = 13 -13 + 26x = 13 + 25x Solving -13 + 26x = 13 + 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. -13 + 26x + -25x = 13 + 25x + -25x Combine like terms: 26x + -25x = 1x -13 + 1x = 13 + 25x + -25x Combine like terms: 25x + -25x = 0 -13 + 1x = 13 + 0 -13 + 1x = 13 Add '13' to each side of the equation. -13 + 13 + 1x = 13 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 13 + 13 1x = 13 + 13 Combine like terms: 13 + 13 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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