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Simplifying 4(5x + 5) = 2(2x + 42) Reorder the terms: 4(5 + 5x) = 2(2x + 42) (5 * 4 + 5x * 4) = 2(2x + 42) (20 + 20x) = 2(2x + 42) Reorder the terms: 20 + 20x = 2(42 + 2x) 20 + 20x = (42 * 2 + 2x * 2) 20 + 20x = (84 + 4x) Solving 20 + 20x = 84 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 20x + -4x = 84 + 4x + -4x Combine like terms: 20x + -4x = 16x 20 + 16x = 84 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 16x = 84 + 0 20 + 16x = 84 Add '-20' to each side of the equation. 20 + -20 + 16x = 84 + -20 Combine like terms: 20 + -20 = 0 0 + 16x = 84 + -20 16x = 84 + -20 Combine like terms: 84 + -20 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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