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Simplifying 5(2x + -3) + -1(5x + -1) = 11 Reorder the terms: 5(-3 + 2x) + -1(5x + -1) = 11 (-3 * 5 + 2x * 5) + -1(5x + -1) = 11 (-15 + 10x) + -1(5x + -1) = 11 Reorder the terms: -15 + 10x + -1(-1 + 5x) = 11 -15 + 10x + (-1 * -1 + 5x * -1) = 11 -15 + 10x + (1 + -5x) = 11 Reorder the terms: -15 + 1 + 10x + -5x = 11 Combine like terms: -15 + 1 = -14 -14 + 10x + -5x = 11 Combine like terms: 10x + -5x = 5x -14 + 5x = 11 Solving -14 + 5x = 11 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 + 5x = 11 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 11 + 14 5x = 11 + 14 Combine like terms: 11 + 14 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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