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Simplifying 5(x + -2) + 2(x + 4) = 6 Reorder the terms: 5(-2 + x) + 2(x + 4) = 6 (-2 * 5 + x * 5) + 2(x + 4) = 6 (-10 + 5x) + 2(x + 4) = 6 Reorder the terms: -10 + 5x + 2(4 + x) = 6 -10 + 5x + (4 * 2 + x * 2) = 6 -10 + 5x + (8 + 2x) = 6 Reorder the terms: -10 + 8 + 5x + 2x = 6 Combine like terms: -10 + 8 = -2 -2 + 5x + 2x = 6 Combine like terms: 5x + 2x = 7x -2 + 7x = 6 Solving -2 + 7x = 6 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 = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 6 + 2 7x = 6 + 2 Combine like terms: 6 + 2 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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