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Simplifying 5x + -8x + 39 = 2x + 29 Reorder the terms: 39 + 5x + -8x = 2x + 29 Combine like terms: 5x + -8x = -3x 39 + -3x = 2x + 29 Reorder the terms: 39 + -3x = 29 + 2x Solving 39 + -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. 39 + -3x + -2x = 29 + 2x + -2x Combine like terms: -3x + -2x = -5x 39 + -5x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 39 + -5x = 29 + 0 39 + -5x = 29 Add '-39' to each side of the equation. 39 + -39 + -5x = 29 + -39 Combine like terms: 39 + -39 = 0 0 + -5x = 29 + -39 -5x = 29 + -39 Combine like terms: 29 + -39 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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