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Simplifying 12x + 6(9 + -1x) = 3x + -21 12x + (9 * 6 + -1x * 6) = 3x + -21 12x + (54 + -6x) = 3x + -21 Reorder the terms: 54 + 12x + -6x = 3x + -21 Combine like terms: 12x + -6x = 6x 54 + 6x = 3x + -21 Reorder the terms: 54 + 6x = -21 + 3x Solving 54 + 6x = -21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 54 + 6x + -3x = -21 + 3x + -3x Combine like terms: 6x + -3x = 3x 54 + 3x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 54 + 3x = -21 + 0 54 + 3x = -21 Add '-54' to each side of the equation. 54 + -54 + 3x = -21 + -54 Combine like terms: 54 + -54 = 0 0 + 3x = -21 + -54 3x = -21 + -54 Combine like terms: -21 + -54 = -75 3x = -75 Divide each side by '3'. x = -25 Simplifying x = -25
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