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Simplifying 5x + -8x + 49 = 2x + 29 Reorder the terms: 49 + 5x + -8x = 2x + 29 Combine like terms: 5x + -8x = -3x 49 + -3x = 2x + 29 Reorder the terms: 49 + -3x = 29 + 2x Solving 49 + -3x = 29 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 49 + -3x + -2x = 29 + 2x + -2x Combine like terms: -3x + -2x = -5x 49 + -5x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + -5x = 29 + 0 49 + -5x = 29 Add '-49' to each side of the equation. 49 + -49 + -5x = 29 + -49 Combine like terms: 49 + -49 = 0 0 + -5x = 29 + -49 -5x = 29 + -49 Combine like terms: 29 + -49 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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