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