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Simplifying 5x + 2(5x + -13) = 19 Reorder the terms: 5x + 2(-13 + 5x) = 19 5x + (-13 * 2 + 5x * 2) = 19 5x + (-26 + 10x) = 19 Reorder the terms: -26 + 5x + 10x = 19 Combine like terms: 5x + 10x = 15x -26 + 15x = 19 Solving -26 + 15x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 15x = 19 + 26 Combine like terms: -26 + 26 = 0 0 + 15x = 19 + 26 15x = 19 + 26 Combine like terms: 19 + 26 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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