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Simplifying 3x + 23 + 3x + -3 = 54 + -3x + 29 Reorder the terms: 23 + -3 + 3x + 3x = 54 + -3x + 29 Combine like terms: 23 + -3 = 20 20 + 3x + 3x = 54 + -3x + 29 Combine like terms: 3x + 3x = 6x 20 + 6x = 54 + -3x + 29 Reorder the terms: 20 + 6x = 54 + 29 + -3x Combine like terms: 54 + 29 = 83 20 + 6x = 83 + -3x Solving 20 + 6x = 83 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 20 + 6x + 3x = 83 + -3x + 3x Combine like terms: 6x + 3x = 9x 20 + 9x = 83 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + 9x = 83 + 0 20 + 9x = 83 Add '-20' to each side of the equation. 20 + -20 + 9x = 83 + -20 Combine like terms: 20 + -20 = 0 0 + 9x = 83 + -20 9x = 83 + -20 Combine like terms: 83 + -20 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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