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Simplifying -7(2x + 4) = 5(-4x + 4) Reorder the terms: -7(4 + 2x) = 5(-4x + 4) (4 * -7 + 2x * -7) = 5(-4x + 4) (-28 + -14x) = 5(-4x + 4) Reorder the terms: -28 + -14x = 5(4 + -4x) -28 + -14x = (4 * 5 + -4x * 5) -28 + -14x = (20 + -20x) Solving -28 + -14x = 20 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -28 + -14x + 20x = 20 + -20x + 20x Combine like terms: -14x + 20x = 6x -28 + 6x = 20 + -20x + 20x Combine like terms: -20x + 20x = 0 -28 + 6x = 20 + 0 -28 + 6x = 20 Add '28' to each side of the equation. -28 + 28 + 6x = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 6x = 20 + 28 6x = 20 + 28 Combine like terms: 20 + 28 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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