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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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