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Simplifying 4x + -5 + 2x = 13 + 9x + -21 Reorder the terms: -5 + 4x + 2x = 13 + 9x + -21 Combine like terms: 4x + 2x = 6x -5 + 6x = 13 + 9x + -21 Reorder the terms: -5 + 6x = 13 + -21 + 9x Combine like terms: 13 + -21 = -8 -5 + 6x = -8 + 9x Solving -5 + 6x = -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. -5 + 6x + -9x = -8 + 9x + -9x Combine like terms: 6x + -9x = -3x -5 + -3x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -3x = -8 + 0 -5 + -3x = -8 Add '5' to each side of the equation. -5 + 5 + -3x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -8 + 5 -3x = -8 + 5 Combine like terms: -8 + 5 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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