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Simplifying 10(x + 2) = 3(x + 8) Reorder the terms: 10(2 + x) = 3(x + 8) (2 * 10 + x * 10) = 3(x + 8) (20 + 10x) = 3(x + 8) Reorder the terms: 20 + 10x = 3(8 + x) 20 + 10x = (8 * 3 + x * 3) 20 + 10x = (24 + 3x) Solving 20 + 10x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + 10x + -3x = 24 + 3x + -3x Combine like terms: 10x + -3x = 7x 20 + 7x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 7x = 24 + 0 20 + 7x = 24 Add '-20' to each side of the equation. 20 + -20 + 7x = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = 24 + -20 7x = 24 + -20 Combine like terms: 24 + -20 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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