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Simplifying 4x + -9x + 49 = 4x + 31 Reorder the terms: 49 + 4x + -9x = 4x + 31 Combine like terms: 4x + -9x = -5x 49 + -5x = 4x + 31 Reorder the terms: 49 + -5x = 31 + 4x Solving 49 + -5x = 31 + 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. 49 + -5x + -4x = 31 + 4x + -4x Combine like terms: -5x + -4x = -9x 49 + -9x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 49 + -9x = 31 + 0 49 + -9x = 31 Add '-49' to each side of the equation. 49 + -49 + -9x = 31 + -49 Combine like terms: 49 + -49 = 0 0 + -9x = 31 + -49 -9x = 31 + -49 Combine like terms: 31 + -49 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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