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Simplifying -2(4x + -5) + -1(x + 7) = 21 Reorder the terms: -2(-5 + 4x) + -1(x + 7) = 21 (-5 * -2 + 4x * -2) + -1(x + 7) = 21 (10 + -8x) + -1(x + 7) = 21 Reorder the terms: 10 + -8x + -1(7 + x) = 21 10 + -8x + (7 * -1 + x * -1) = 21 10 + -8x + (-7 + -1x) = 21 Reorder the terms: 10 + -7 + -8x + -1x = 21 Combine like terms: 10 + -7 = 3 3 + -8x + -1x = 21 Combine like terms: -8x + -1x = -9x 3 + -9x = 21 Solving 3 + -9x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -9x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = 21 + -3 -9x = 21 + -3 Combine like terms: 21 + -3 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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