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Simplifying 4x + -27 + 2x = 9x + 21 + -1x Reorder the terms: -27 + 4x + 2x = 9x + 21 + -1x Combine like terms: 4x + 2x = 6x -27 + 6x = 9x + 21 + -1x Reorder the terms: -27 + 6x = 21 + 9x + -1x Combine like terms: 9x + -1x = 8x -27 + 6x = 21 + 8x Solving -27 + 6x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -27 + 6x + -8x = 21 + 8x + -8x Combine like terms: 6x + -8x = -2x -27 + -2x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + -2x = 21 + 0 -27 + -2x = 21 Add '27' to each side of the equation. -27 + 27 + -2x = 21 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = 21 + 27 -2x = 21 + 27 Combine like terms: 21 + 27 = 48 -2x = 48 Divide each side by '-2'. x = -24 Simplifying x = -24
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