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Simplifying 3(2x + 1) = 3x + -12 Reorder the terms: 3(1 + 2x) = 3x + -12 (1 * 3 + 2x * 3) = 3x + -12 (3 + 6x) = 3x + -12 Reorder the terms: 3 + 6x = -12 + 3x Solving 3 + 6x = -12 + 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. 3 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x 3 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 3x = -12 + 0 3 + 3x = -12 Add '-3' to each side of the equation. 3 + -3 + 3x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -12 + -3 3x = -12 + -3 Combine like terms: -12 + -3 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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