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Simplifying 3x + 5 + -4x = 8 + -5x + 21 Reorder the terms: 5 + 3x + -4x = 8 + -5x + 21 Combine like terms: 3x + -4x = -1x 5 + -1x = 8 + -5x + 21 Reorder the terms: 5 + -1x = 8 + 21 + -5x Combine like terms: 8 + 21 = 29 5 + -1x = 29 + -5x Solving 5 + -1x = 29 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + -1x + 5x = 29 + -5x + 5x Combine like terms: -1x + 5x = 4x 5 + 4x = 29 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 4x = 29 + 0 5 + 4x = 29 Add '-5' to each side of the equation. 5 + -5 + 4x = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 29 + -5 4x = 29 + -5 Combine like terms: 29 + -5 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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