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Simplifying 23x + 34 = -2(1 + -7x) Reorder the terms: 34 + 23x = -2(1 + -7x) 34 + 23x = (1 * -2 + -7x * -2) 34 + 23x = (-2 + 14x) Solving 34 + 23x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 34 + 23x + -14x = -2 + 14x + -14x Combine like terms: 23x + -14x = 9x 34 + 9x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 34 + 9x = -2 + 0 34 + 9x = -2 Add '-34' to each side of the equation. 34 + -34 + 9x = -2 + -34 Combine like terms: 34 + -34 = 0 0 + 9x = -2 + -34 9x = -2 + -34 Combine like terms: -2 + -34 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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