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Simplifying -3(2x + -12) = -2(4x + 4) Reorder the terms: -3(-12 + 2x) = -2(4x + 4) (-12 * -3 + 2x * -3) = -2(4x + 4) (36 + -6x) = -2(4x + 4) Reorder the terms: 36 + -6x = -2(4 + 4x) 36 + -6x = (4 * -2 + 4x * -2) 36 + -6x = (-8 + -8x) Solving 36 + -6x = -8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 36 + -6x + 8x = -8 + -8x + 8x Combine like terms: -6x + 8x = 2x 36 + 2x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 36 + 2x = -8 + 0 36 + 2x = -8 Add '-36' to each side of the equation. 36 + -36 + 2x = -8 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = -8 + -36 2x = -8 + -36 Combine like terms: -8 + -36 = -44 2x = -44 Divide each side by '2'. x = -22 Simplifying x = -22
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