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Simplifying (6x + -23) = (7x + -31) Reorder the terms: (-23 + 6x) = (7x + -31) Remove parenthesis around (-23 + 6x) -23 + 6x = (7x + -31) Reorder the terms: -23 + 6x = (-31 + 7x) Remove parenthesis around (-31 + 7x) -23 + 6x = -31 + 7x Solving -23 + 6x = -31 + 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 + 6x + -7x = -31 + 7x + -7x Combine like terms: 6x + -7x = -1x -23 + -1x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 -23 + -1x = -31 + 0 -23 + -1x = -31 Add '23' to each side of the equation. -23 + 23 + -1x = -31 + 23 Combine like terms: -23 + 23 = 0 0 + -1x = -31 + 23 -1x = -31 + 23 Combine like terms: -31 + 23 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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