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Simplifying 2(x + -3) + 5(x + 4) = 20 Reorder the terms: 2(-3 + x) + 5(x + 4) = 20 (-3 * 2 + x * 2) + 5(x + 4) = 20 (-6 + 2x) + 5(x + 4) = 20 Reorder the terms: -6 + 2x + 5(4 + x) = 20 -6 + 2x + (4 * 5 + x * 5) = 20 -6 + 2x + (20 + 5x) = 20 Reorder the terms: -6 + 20 + 2x + 5x = 20 Combine like terms: -6 + 20 = 14 14 + 2x + 5x = 20 Combine like terms: 2x + 5x = 7x 14 + 7x = 20 Solving 14 + 7x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 20 + -14 7x = 20 + -14 Combine like terms: 20 + -14 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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