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Simplifying 4x + -5 + 2x = 13 + 9x + -21x Reorder the terms: -5 + 4x + 2x = 13 + 9x + -21x Combine like terms: 4x + 2x = 6x -5 + 6x = 13 + 9x + -21x Combine like terms: 9x + -21x = -12x -5 + 6x = 13 + -12x Solving -5 + 6x = 13 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -5 + 6x + 12x = 13 + -12x + 12x Combine like terms: 6x + 12x = 18x -5 + 18x = 13 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 18x = 13 + 0 -5 + 18x = 13 Add '5' to each side of the equation. -5 + 5 + 18x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 18x = 13 + 5 18x = 13 + 5 Combine like terms: 13 + 5 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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