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Simplifying 13(2x + -1) + -1(x + 23) = 7x Reorder the terms: 13(-1 + 2x) + -1(x + 23) = 7x (-1 * 13 + 2x * 13) + -1(x + 23) = 7x (-13 + 26x) + -1(x + 23) = 7x Reorder the terms: -13 + 26x + -1(23 + x) = 7x -13 + 26x + (23 * -1 + x * -1) = 7x -13 + 26x + (-23 + -1x) = 7x Reorder the terms: -13 + -23 + 26x + -1x = 7x Combine like terms: -13 + -23 = -36 -36 + 26x + -1x = 7x Combine like terms: 26x + -1x = 25x -36 + 25x = 7x Solving -36 + 25x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -36 + 25x + -7x = 7x + -7x Combine like terms: 25x + -7x = 18x -36 + 18x = 7x + -7x Combine like terms: 7x + -7x = 0 -36 + 18x = 0 Add '36' to each side of the equation. -36 + 36 + 18x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 18x = 0 + 36 18x = 0 + 36 Combine like terms: 0 + 36 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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