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Simplifying 5(x + -2) + 2(x + 4) = 26 Reorder the terms: 5(-2 + x) + 2(x + 4) = 26 (-2 * 5 + x * 5) + 2(x + 4) = 26 (-10 + 5x) + 2(x + 4) = 26 Reorder the terms: -10 + 5x + 2(4 + x) = 26 -10 + 5x + (4 * 2 + x * 2) = 26 -10 + 5x + (8 + 2x) = 26 Reorder the terms: -10 + 8 + 5x + 2x = 26 Combine like terms: -10 + 8 = -2 -2 + 5x + 2x = 26 Combine like terms: 5x + 2x = 7x -2 + 7x = 26 Solving -2 + 7x = 26 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 = 26 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 26 + 2 7x = 26 + 2 Combine like terms: 26 + 2 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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