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Simplifying (5x + 1) = (7x + -23) Reorder the terms: (1 + 5x) = (7x + -23) Remove parenthesis around (1 + 5x) 1 + 5x = (7x + -23) Reorder the terms: 1 + 5x = (-23 + 7x) Remove parenthesis around (-23 + 7x) 1 + 5x = -23 + 7x Solving 1 + 5x = -23 + 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. 1 + 5x + -7x = -23 + 7x + -7x Combine like terms: 5x + -7x = -2x 1 + -2x = -23 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -2x = -23 + 0 1 + -2x = -23 Add '-1' to each side of the equation. 1 + -1 + -2x = -23 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -23 + -1 -2x = -23 + -1 Combine like terms: -23 + -1 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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