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Simplifying 3x + 22 + 2x + -1 = 55 + -4x + 29 Reorder the terms: 22 + -1 + 3x + 2x = 55 + -4x + 29 Combine like terms: 22 + -1 = 21 21 + 3x + 2x = 55 + -4x + 29 Combine like terms: 3x + 2x = 5x 21 + 5x = 55 + -4x + 29 Reorder the terms: 21 + 5x = 55 + 29 + -4x Combine like terms: 55 + 29 = 84 21 + 5x = 84 + -4x Solving 21 + 5x = 84 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 21 + 5x + 4x = 84 + -4x + 4x Combine like terms: 5x + 4x = 9x 21 + 9x = 84 + -4x + 4x Combine like terms: -4x + 4x = 0 21 + 9x = 84 + 0 21 + 9x = 84 Add '-21' to each side of the equation. 21 + -21 + 9x = 84 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 84 + -21 9x = 84 + -21 Combine like terms: 84 + -21 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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