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Simplifying 3x + -20 + 6x + -2 = 8x + -10 + 21 Reorder the terms: -20 + -2 + 3x + 6x = 8x + -10 + 21 Combine like terms: -20 + -2 = -22 -22 + 3x + 6x = 8x + -10 + 21 Combine like terms: 3x + 6x = 9x -22 + 9x = 8x + -10 + 21 Reorder the terms: -22 + 9x = -10 + 21 + 8x Combine like terms: -10 + 21 = 11 -22 + 9x = 11 + 8x Solving -22 + 9x = 11 + 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. -22 + 9x + -8x = 11 + 8x + -8x Combine like terms: 9x + -8x = 1x -22 + 1x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -22 + 1x = 11 + 0 -22 + 1x = 11 Add '22' to each side of the equation. -22 + 22 + 1x = 11 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = 11 + 22 1x = 11 + 22 Combine like terms: 11 + 22 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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