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Simplifying 2(x + -4) + -1(6 + -5x) = 21 Reorder the terms: 2(-4 + x) + -1(6 + -5x) = 21 (-4 * 2 + x * 2) + -1(6 + -5x) = 21 (-8 + 2x) + -1(6 + -5x) = 21 -8 + 2x + (6 * -1 + -5x * -1) = 21 -8 + 2x + (-6 + 5x) = 21 Reorder the terms: -8 + -6 + 2x + 5x = 21 Combine like terms: -8 + -6 = -14 -14 + 2x + 5x = 21 Combine like terms: 2x + 5x = 7x -14 + 7x = 21 Solving -14 + 7x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 7x = 21 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 21 + 14 7x = 21 + 14 Combine like terms: 21 + 14 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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