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Simplifying 7x + -1 + 4x + -8 = 5x + 21 Reorder the terms: -1 + -8 + 7x + 4x = 5x + 21 Combine like terms: -1 + -8 = -9 -9 + 7x + 4x = 5x + 21 Combine like terms: 7x + 4x = 11x -9 + 11x = 5x + 21 Reorder the terms: -9 + 11x = 21 + 5x Solving -9 + 11x = 21 + 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. -9 + 11x + -5x = 21 + 5x + -5x Combine like terms: 11x + -5x = 6x -9 + 6x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 6x = 21 + 0 -9 + 6x = 21 Add '9' to each side of the equation. -9 + 9 + 6x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = 21 + 9 6x = 21 + 9 Combine like terms: 21 + 9 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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