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Simplifying 5(x + -3) + 2(x + 2) = 50 Reorder the terms: 5(-3 + x) + 2(x + 2) = 50 (-3 * 5 + x * 5) + 2(x + 2) = 50 (-15 + 5x) + 2(x + 2) = 50 Reorder the terms: -15 + 5x + 2(2 + x) = 50 -15 + 5x + (2 * 2 + x * 2) = 50 -15 + 5x + (4 + 2x) = 50 Reorder the terms: -15 + 4 + 5x + 2x = 50 Combine like terms: -15 + 4 = -11 -11 + 5x + 2x = 50 Combine like terms: 5x + 2x = 7x -11 + 7x = 50 Solving -11 + 7x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 7x = 50 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 50 + 11 7x = 50 + 11 Combine like terms: 50 + 11 = 61 7x = 61 Divide each side by '7'. x = 8.714285714 Simplifying x = 8.714285714
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