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Simplifying 5x + 34 = -3(x + 2) Reorder the terms: 34 + 5x = -3(x + 2) Reorder the terms: 34 + 5x = -3(2 + x) 34 + 5x = (2 * -3 + x * -3) 34 + 5x = (-6 + -3x) Solving 34 + 5x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 34 + 5x + 3x = -6 + -3x + 3x Combine like terms: 5x + 3x = 8x 34 + 8x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 34 + 8x = -6 + 0 34 + 8x = -6 Add '-34' to each side of the equation. 34 + -34 + 8x = -6 + -34 Combine like terms: 34 + -34 = 0 0 + 8x = -6 + -34 8x = -6 + -34 Combine like terms: -6 + -34 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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