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