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Simplifying 2(4x + -10) + -1(2x + 7) = 77 Reorder the terms: 2(-10 + 4x) + -1(2x + 7) = 77 (-10 * 2 + 4x * 2) + -1(2x + 7) = 77 (-20 + 8x) + -1(2x + 7) = 77 Reorder the terms: -20 + 8x + -1(7 + 2x) = 77 -20 + 8x + (7 * -1 + 2x * -1) = 77 -20 + 8x + (-7 + -2x) = 77 Reorder the terms: -20 + -7 + 8x + -2x = 77 Combine like terms: -20 + -7 = -27 -27 + 8x + -2x = 77 Combine like terms: 8x + -2x = 6x -27 + 6x = 77 Solving -27 + 6x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 6x = 77 + 27 Combine like terms: -27 + 27 = 0 0 + 6x = 77 + 27 6x = 77 + 27 Combine like terms: 77 + 27 = 104 6x = 104 Divide each side by '6'. x = 17.33333333 Simplifying x = 17.33333333
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