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Simplifying 5(x + -2) + 2x + 6 = 38 Reorder the terms: 5(-2 + x) + 2x + 6 = 38 (-2 * 5 + x * 5) + 2x + 6 = 38 (-10 + 5x) + 2x + 6 = 38 Reorder the terms: -10 + 6 + 5x + 2x = 38 Combine like terms: -10 + 6 = -4 -4 + 5x + 2x = 38 Combine like terms: 5x + 2x = 7x -4 + 7x = 38 Solving -4 + 7x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7x = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 38 + 4 7x = 38 + 4 Combine like terms: 38 + 4 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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