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Simplifying 2(x + 4) + 5(x + -2) = 8 Reorder the terms: 2(4 + x) + 5(x + -2) = 8 (4 * 2 + x * 2) + 5(x + -2) = 8 (8 + 2x) + 5(x + -2) = 8 Reorder the terms: 8 + 2x + 5(-2 + x) = 8 8 + 2x + (-2 * 5 + x * 5) = 8 8 + 2x + (-10 + 5x) = 8 Reorder the terms: 8 + -10 + 2x + 5x = 8 Combine like terms: 8 + -10 = -2 -2 + 2x + 5x = 8 Combine like terms: 2x + 5x = 7x -2 + 7x = 8 Solving -2 + 7x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 8 + 2 7x = 8 + 2 Combine like terms: 8 + 2 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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