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Simplifying 4x + (x + 6) = -29 + -2x Reorder the terms: 4x + (6 + x) = -29 + -2x Remove parenthesis around (6 + x) 4x + 6 + x = -29 + -2x Reorder the terms: 6 + 4x + x = -29 + -2x Combine like terms: 4x + x = 5x 6 + 5x = -29 + -2x Solving 6 + 5x = -29 + -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 + 5x + 2x = -29 + -2x + 2x Combine like terms: 5x + 2x = 7x 6 + 7x = -29 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 7x = -29 + 0 6 + 7x = -29 Add '-6' to each side of the equation. 6 + -6 + 7x = -29 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -29 + -6 7x = -29 + -6 Combine like terms: -29 + -6 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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