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Simplifying 3x + 29 = -2x + -6 Reorder the terms: 29 + 3x = -2x + -6 Reorder the terms: 29 + 3x = -6 + -2x Solving 29 + 3x = -6 + -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. 29 + 3x + 2x = -6 + -2x + 2x Combine like terms: 3x + 2x = 5x 29 + 5x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 29 + 5x = -6 + 0 29 + 5x = -6 Add '-29' to each side of the equation. 29 + -29 + 5x = -6 + -29 Combine like terms: 29 + -29 = 0 0 + 5x = -6 + -29 5x = -6 + -29 Combine like terms: -6 + -29 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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