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Simplifying 12x = 4(6x + -21) Reorder the terms: 12x = 4(-21 + 6x) 12x = (-21 * 4 + 6x * 4) 12x = (-84 + 24x) Solving 12x = -84 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 12x + -24x = -84 + 24x + -24x Combine like terms: 12x + -24x = -12x -12x = -84 + 24x + -24x Combine like terms: 24x + -24x = 0 -12x = -84 + 0 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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