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Simplifying 26x + -7 = 5(5x + 5) + -18 Reorder the terms: -7 + 26x = 5(5x + 5) + -18 Reorder the terms: -7 + 26x = 5(5 + 5x) + -18 -7 + 26x = (5 * 5 + 5x * 5) + -18 -7 + 26x = (25 + 25x) + -18 Reorder the terms: -7 + 26x = 25 + -18 + 25x Combine like terms: 25 + -18 = 7 -7 + 26x = 7 + 25x Solving -7 + 26x = 7 + 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. -7 + 26x + -25x = 7 + 25x + -25x Combine like terms: 26x + -25x = 1x -7 + 1x = 7 + 25x + -25x Combine like terms: 25x + -25x = 0 -7 + 1x = 7 + 0 -7 + 1x = 7 Add '7' to each side of the equation. -7 + 7 + 1x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 7 + 7 1x = 7 + 7 Combine like terms: 7 + 7 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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