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