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Simplifying 4(3x + 1) = 2(3x + -7) Reorder the terms: 4(1 + 3x) = 2(3x + -7) (1 * 4 + 3x * 4) = 2(3x + -7) (4 + 12x) = 2(3x + -7) Reorder the terms: 4 + 12x = 2(-7 + 3x) 4 + 12x = (-7 * 2 + 3x * 2) 4 + 12x = (-14 + 6x) Solving 4 + 12x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 12x + -6x = -14 + 6x + -6x Combine like terms: 12x + -6x = 6x 4 + 6x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 6x = -14 + 0 4 + 6x = -14 Add '-4' to each side of the equation. 4 + -4 + 6x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -14 + -4 6x = -14 + -4 Combine like terms: -14 + -4 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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