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Simplifying 11(x + -7) = 7x + -17 Reorder the terms: 11(-7 + x) = 7x + -17 (-7 * 11 + x * 11) = 7x + -17 (-77 + 11x) = 7x + -17 Reorder the terms: -77 + 11x = -17 + 7x Solving -77 + 11x = -17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -77 + 11x + -7x = -17 + 7x + -7x Combine like terms: 11x + -7x = 4x -77 + 4x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 -77 + 4x = -17 + 0 -77 + 4x = -17 Add '77' to each side of the equation. -77 + 77 + 4x = -17 + 77 Combine like terms: -77 + 77 = 0 0 + 4x = -17 + 77 4x = -17 + 77 Combine like terms: -17 + 77 = 60 4x = 60 Divide each side by '4'. x = 15 Simplifying x = 15
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