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Simplifying 11(2x + -7) = -1(2x + 5) Reorder the terms: 11(-7 + 2x) = -1(2x + 5) (-7 * 11 + 2x * 11) = -1(2x + 5) (-77 + 22x) = -1(2x + 5) Reorder the terms: -77 + 22x = -1(5 + 2x) -77 + 22x = (5 * -1 + 2x * -1) -77 + 22x = (-5 + -2x) Solving -77 + 22x = -5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -77 + 22x + 2x = -5 + -2x + 2x Combine like terms: 22x + 2x = 24x -77 + 24x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 -77 + 24x = -5 + 0 -77 + 24x = -5 Add '77' to each side of the equation. -77 + 77 + 24x = -5 + 77 Combine like terms: -77 + 77 = 0 0 + 24x = -5 + 77 24x = -5 + 77 Combine like terms: -5 + 77 = 72 24x = 72 Divide each side by '24'. x = 3 Simplifying x = 3
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