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Simplifying 2x + -9x + 49 = 3x + 29 Reorder the terms: 49 + 2x + -9x = 3x + 29 Combine like terms: 2x + -9x = -7x 49 + -7x = 3x + 29 Reorder the terms: 49 + -7x = 29 + 3x Solving 49 + -7x = 29 + 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. 49 + -7x + -3x = 29 + 3x + -3x Combine like terms: -7x + -3x = -10x 49 + -10x = 29 + 3x + -3x Combine like terms: 3x + -3x = 0 49 + -10x = 29 + 0 49 + -10x = 29 Add '-49' to each side of the equation. 49 + -49 + -10x = 29 + -49 Combine like terms: 49 + -49 = 0 0 + -10x = 29 + -49 -10x = 29 + -49 Combine like terms: 29 + -49 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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