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