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Simplifying 2x + -12 + 6x + -21 = 6x + 21 Reorder the terms: -12 + -21 + 2x + 6x = 6x + 21 Combine like terms: -12 + -21 = -33 -33 + 2x + 6x = 6x + 21 Combine like terms: 2x + 6x = 8x -33 + 8x = 6x + 21 Reorder the terms: -33 + 8x = 21 + 6x Solving -33 + 8x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -33 + 8x + -6x = 21 + 6x + -6x Combine like terms: 8x + -6x = 2x -33 + 2x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -33 + 2x = 21 + 0 -33 + 2x = 21 Add '33' to each side of the equation. -33 + 33 + 2x = 21 + 33 Combine like terms: -33 + 33 = 0 0 + 2x = 21 + 33 2x = 21 + 33 Combine like terms: 21 + 33 = 54 2x = 54 Divide each side by '2'. x = 27 Simplifying x = 27
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