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Simplifying 3 + -4x = 6x + 2x + -21 Reorder the terms: 3 + -4x = -21 + 6x + 2x Combine like terms: 6x + 2x = 8x 3 + -4x = -21 + 8x Solving 3 + -4x = -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. 3 + -4x + -8x = -21 + 8x + -8x Combine like terms: -4x + -8x = -12x 3 + -12x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -12x = -21 + 0 3 + -12x = -21 Add '-3' to each side of the equation. 3 + -3 + -12x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -12x = -21 + -3 -12x = -21 + -3 Combine like terms: -21 + -3 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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