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Simplifying 12x + -21 = 30x + 15 + -6x Reorder the terms: -21 + 12x = 30x + 15 + -6x Reorder the terms: -21 + 12x = 15 + 30x + -6x Combine like terms: 30x + -6x = 24x -21 + 12x = 15 + 24x Solving -21 + 12x = 15 + 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. -21 + 12x + -24x = 15 + 24x + -24x Combine like terms: 12x + -24x = -12x -21 + -12x = 15 + 24x + -24x Combine like terms: 24x + -24x = 0 -21 + -12x = 15 + 0 -21 + -12x = 15 Add '21' to each side of the equation. -21 + 21 + -12x = 15 + 21 Combine like terms: -21 + 21 = 0 0 + -12x = 15 + 21 -12x = 15 + 21 Combine like terms: 15 + 21 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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