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Simplifying 4(2x + 5) = 2(3x + 10) Reorder the terms: 4(5 + 2x) = 2(3x + 10) (5 * 4 + 2x * 4) = 2(3x + 10) (20 + 8x) = 2(3x + 10) Reorder the terms: 20 + 8x = 2(10 + 3x) 20 + 8x = (10 * 2 + 3x * 2) 20 + 8x = (20 + 6x) Add '-20' to each side of the equation. 20 + -20 + 8x = 20 + -20 + 6x Combine like terms: 20 + -20 = 0 0 + 8x = 20 + -20 + 6x 8x = 20 + -20 + 6x Combine like terms: 20 + -20 = 0 8x = 0 + 6x 8x = 6x Solving 8x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x 2x = 6x + -6x Combine like terms: 6x + -6x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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