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Simplifying 10x + -4(2x + -1) = -6 + 8 Reorder the terms: 10x + -4(-1 + 2x) = -6 + 8 10x + (-1 * -4 + 2x * -4) = -6 + 8 10x + (4 + -8x) = -6 + 8 Reorder the terms: 4 + 10x + -8x = -6 + 8 Combine like terms: 10x + -8x = 2x 4 + 2x = -6 + 8 Combine like terms: -6 + 8 = 2 4 + 2x = 2 Solving 4 + 2x = 2 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 + 2x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 2 + -4 2x = 2 + -4 Combine like terms: 2 + -4 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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