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Simplifying x + -21 = 5x + 6 + -7x Reorder the terms: -21 + x = 5x + 6 + -7x Reorder the terms: -21 + x = 6 + 5x + -7x Combine like terms: 5x + -7x = -2x -21 + x = 6 + -2x Solving -21 + x = 6 + -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. -21 + x + 2x = 6 + -2x + 2x Combine like terms: x + 2x = 3x -21 + 3x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + 3x = 6 + 0 -21 + 3x = 6 Add '21' to each side of the equation. -21 + 21 + 3x = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 6 + 21 3x = 6 + 21 Combine like terms: 6 + 21 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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