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Simplifying -2(3x + -4) + 12 = -7(x + 2) Reorder the terms: -2(-4 + 3x) + 12 = -7(x + 2) (-4 * -2 + 3x * -2) + 12 = -7(x + 2) (8 + -6x) + 12 = -7(x + 2) Reorder the terms: 8 + 12 + -6x = -7(x + 2) Combine like terms: 8 + 12 = 20 20 + -6x = -7(x + 2) Reorder the terms: 20 + -6x = -7(2 + x) 20 + -6x = (2 * -7 + x * -7) 20 + -6x = (-14 + -7x) Solving 20 + -6x = -14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 20 + -6x + 7x = -14 + -7x + 7x Combine like terms: -6x + 7x = 1x 20 + 1x = -14 + -7x + 7x Combine like terms: -7x + 7x = 0 20 + 1x = -14 + 0 20 + 1x = -14 Add '-20' to each side of the equation. 20 + -20 + 1x = -14 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = -14 + -20 1x = -14 + -20 Combine like terms: -14 + -20 = -34 1x = -34 Divide each side by '1'. x = -34 Simplifying x = -34
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