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Simplifying (10x + -23) = (7x + 1) Reorder the terms: (-23 + 10x) = (7x + 1) Remove parenthesis around (-23 + 10x) -23 + 10x = (7x + 1) Reorder the terms: -23 + 10x = (1 + 7x) Remove parenthesis around (1 + 7x) -23 + 10x = 1 + 7x Solving -23 + 10x = 1 + 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. -23 + 10x + -7x = 1 + 7x + -7x Combine like terms: 10x + -7x = 3x -23 + 3x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -23 + 3x = 1 + 0 -23 + 3x = 1 Add '23' to each side of the equation. -23 + 23 + 3x = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = 1 + 23 3x = 1 + 23 Combine like terms: 1 + 23 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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