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Simplifying 10(2 + x) = 2(25 + 3x) + 10 (2 * 10 + x * 10) = 2(25 + 3x) + 10 (20 + 10x) = 2(25 + 3x) + 10 20 + 10x = (25 * 2 + 3x * 2) + 10 20 + 10x = (50 + 6x) + 10 Reorder the terms: 20 + 10x = 50 + 10 + 6x Combine like terms: 50 + 10 = 60 20 + 10x = 60 + 6x Solving 20 + 10x = 60 + 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. 20 + 10x + -6x = 60 + 6x + -6x Combine like terms: 10x + -6x = 4x 20 + 4x = 60 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 4x = 60 + 0 20 + 4x = 60 Add '-20' to each side of the equation. 20 + -20 + 4x = 60 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 60 + -20 4x = 60 + -20 Combine like terms: 60 + -20 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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