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Simplifying 2(6x + 3) = 3(2x + -12) Reorder the terms: 2(3 + 6x) = 3(2x + -12) (3 * 2 + 6x * 2) = 3(2x + -12) (6 + 12x) = 3(2x + -12) Reorder the terms: 6 + 12x = 3(-12 + 2x) 6 + 12x = (-12 * 3 + 2x * 3) 6 + 12x = (-36 + 6x) Solving 6 + 12x = -36 + 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. 6 + 12x + -6x = -36 + 6x + -6x Combine like terms: 12x + -6x = 6x 6 + 6x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 6x = -36 + 0 6 + 6x = -36 Add '-6' to each side of the equation. 6 + -6 + 6x = -36 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -36 + -6 6x = -36 + -6 Combine like terms: -36 + -6 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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