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Simplifying 4(5x + 5) = 2(7x + 6) Reorder the terms: 4(5 + 5x) = 2(7x + 6) (5 * 4 + 5x * 4) = 2(7x + 6) (20 + 20x) = 2(7x + 6) Reorder the terms: 20 + 20x = 2(6 + 7x) 20 + 20x = (6 * 2 + 7x * 2) 20 + 20x = (12 + 14x) Solving 20 + 20x = 12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 20 + 20x + -14x = 12 + 14x + -14x Combine like terms: 20x + -14x = 6x 20 + 6x = 12 + 14x + -14x Combine like terms: 14x + -14x = 0 20 + 6x = 12 + 0 20 + 6x = 12 Add '-20' to each side of the equation. 20 + -20 + 6x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = 12 + -20 6x = 12 + -20 Combine like terms: 12 + -20 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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