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Simplifying 12x + 6(6 + -1x) = 3x + -24 12x + (6 * 6 + -1x * 6) = 3x + -24 12x + (36 + -6x) = 3x + -24 Reorder the terms: 36 + 12x + -6x = 3x + -24 Combine like terms: 12x + -6x = 6x 36 + 6x = 3x + -24 Reorder the terms: 36 + 6x = -24 + 3x Solving 36 + 6x = -24 + 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. 36 + 6x + -3x = -24 + 3x + -3x Combine like terms: 6x + -3x = 3x 36 + 3x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 36 + 3x = -24 + 0 36 + 3x = -24 Add '-36' to each side of the equation. 36 + -36 + 3x = -24 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = -24 + -36 3x = -24 + -36 Combine like terms: -24 + -36 = -60 3x = -60 Divide each side by '3'. x = -20 Simplifying x = -20
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