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Simplifying 2(4 + x) = 10 + -5x (4 * 2 + x * 2) = 10 + -5x (8 + 2x) = 10 + -5x Solving 8 + 2x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + 2x + 5x = 10 + -5x + 5x Combine like terms: 2x + 5x = 7x 8 + 7x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 7x = 10 + 0 8 + 7x = 10 Add '-8' to each side of the equation. 8 + -8 + 7x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 10 + -8 7x = 10 + -8 Combine like terms: 10 + -8 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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