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Simplifying 4x + -5 + 2 = 13 + 9x + -21 Reorder the terms: -5 + 2 + 4x = 13 + 9x + -21 Combine like terms: -5 + 2 = -3 -3 + 4x = 13 + 9x + -21 Reorder the terms: -3 + 4x = 13 + -21 + 9x Combine like terms: 13 + -21 = -8 -3 + 4x = -8 + 9x Solving -3 + 4x = -8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + 4x + -9x = -8 + 9x + -9x Combine like terms: 4x + -9x = -5x -3 + -5x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -5x = -8 + 0 -3 + -5x = -8 Add '3' to each side of the equation. -3 + 3 + -5x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -8 + 3 -5x = -8 + 3 Combine like terms: -8 + 3 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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