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Simplifying -4x + 6(3x + 12) = -40 Reorder the terms: -4x + 6(12 + 3x) = -40 -4x + (12 * 6 + 3x * 6) = -40 -4x + (72 + 18x) = -40 Reorder the terms: 72 + -4x + 18x = -40 Combine like terms: -4x + 18x = 14x 72 + 14x = -40 Solving 72 + 14x = -40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 14x = -40 + -72 Combine like terms: 72 + -72 = 0 0 + 14x = -40 + -72 14x = -40 + -72 Combine like terms: -40 + -72 = -112 14x = -112 Divide each side by '14'. x = -8 Simplifying x = -8
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