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Simplifying 5x + -8x + 24 = 2x + 29 Reorder the terms: 24 + 5x + -8x = 2x + 29 Combine like terms: 5x + -8x = -3x 24 + -3x = 2x + 29 Reorder the terms: 24 + -3x = 29 + 2x Solving 24 + -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. 24 + -3x + -2x = 29 + 2x + -2x Combine like terms: -3x + -2x = -5x 24 + -5x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -5x = 29 + 0 24 + -5x = 29 Add '-24' to each side of the equation. 24 + -24 + -5x = 29 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 29 + -24 -5x = 29 + -24 Combine like terms: 29 + -24 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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