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Simplifying 5x + 34 = -2[1 + -7x] Reorder the terms: 34 + 5x = -2[1 + -7x] 34 + 5x = [1 * -2 + -7x * -2] 34 + 5x = [-2 + 14x] Solving 34 + 5x = -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 + 5x + -14x = -2 + 14x + -14x Combine like terms: 5x + -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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