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Simplifying -5x + -6 = 4x + 21 Reorder the terms: -6 + -5x = 4x + 21 Reorder the terms: -6 + -5x = 21 + 4x Solving -6 + -5x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + -5x + -4x = 21 + 4x + -4x Combine like terms: -5x + -4x = -9x -6 + -9x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -9x = 21 + 0 -6 + -9x = 21 Add '6' to each side of the equation. -6 + 6 + -9x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 21 + 6 -9x = 21 + 6 Combine like terms: 21 + 6 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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