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Simplifying 34 + 4x = -5(x + 4) Reorder the terms: 34 + 4x = -5(4 + x) 34 + 4x = (4 * -5 + x * -5) 34 + 4x = (-20 + -5x) Solving 34 + 4x = -20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 34 + 4x + 5x = -20 + -5x + 5x Combine like terms: 4x + 5x = 9x 34 + 9x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 34 + 9x = -20 + 0 34 + 9x = -20 Add '-34' to each side of the equation. 34 + -34 + 9x = -20 + -34 Combine like terms: 34 + -34 = 0 0 + 9x = -20 + -34 9x = -20 + -34 Combine like terms: -20 + -34 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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