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Simplifying 12x + -1(5x + -23) = 30 + (6x + -7) Reorder the terms: 12x + -1(-23 + 5x) = 30 + (6x + -7) 12x + (-23 * -1 + 5x * -1) = 30 + (6x + -7) 12x + (23 + -5x) = 30 + (6x + -7) Reorder the terms: 23 + 12x + -5x = 30 + (6x + -7) Combine like terms: 12x + -5x = 7x 23 + 7x = 30 + (6x + -7) Reorder the terms: 23 + 7x = 30 + (-7 + 6x) Remove parenthesis around (-7 + 6x) 23 + 7x = 30 + -7 + 6x Combine like terms: 30 + -7 = 23 23 + 7x = 23 + 6x Add '-23' to each side of the equation. 23 + -23 + 7x = 23 + -23 + 6x Combine like terms: 23 + -23 = 0 0 + 7x = 23 + -23 + 6x 7x = 23 + -23 + 6x Combine like terms: 23 + -23 = 0 7x = 0 + 6x 7x = 6x Solving 7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x 1x = 6x + -6x Combine like terms: 6x + -6x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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