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Simplifying 2(4x + -2) + -1(x + 2) = 10 Reorder the terms: 2(-2 + 4x) + -1(x + 2) = 10 (-2 * 2 + 4x * 2) + -1(x + 2) = 10 (-4 + 8x) + -1(x + 2) = 10 Reorder the terms: -4 + 8x + -1(2 + x) = 10 -4 + 8x + (2 * -1 + x * -1) = 10 -4 + 8x + (-2 + -1x) = 10 Reorder the terms: -4 + -2 + 8x + -1x = 10 Combine like terms: -4 + -2 = -6 -6 + 8x + -1x = 10 Combine like terms: 8x + -1x = 7x -6 + 7x = 10 Solving -6 + 7x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 10 + 6 7x = 10 + 6 Combine like terms: 10 + 6 = 16 7x = 16 Divide each side by '7'. x = 2.285714286 Simplifying x = 2.285714286
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