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Simplifying 3x + 4 + -2x + 7 = 29 Reorder the terms: 4 + 7 + 3x + -2x = 29 Combine like terms: 4 + 7 = 11 11 + 3x + -2x = 29 Combine like terms: 3x + -2x = 1x 11 + 1x = 29 Solving 11 + 1x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1x = 29 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 29 + -11 1x = 29 + -11 Combine like terms: 29 + -11 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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