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Simplifying 3(7 + -1x) = 12x + -9 (7 * 3 + -1x * 3) = 12x + -9 (21 + -3x) = 12x + -9 Reorder the terms: 21 + -3x = -9 + 12x Solving 21 + -3x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 21 + -3x + -12x = -9 + 12x + -12x Combine like terms: -3x + -12x = -15x 21 + -15x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -15x = -9 + 0 21 + -15x = -9 Add '-21' to each side of the equation. 21 + -21 + -15x = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -15x = -9 + -21 -15x = -9 + -21 Combine like terms: -9 + -21 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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