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Simplifying 11(x + -1) = 7x + 17 Reorder the terms: 11(-1 + x) = 7x + 17 (-1 * 11 + x * 11) = 7x + 17 (-11 + 11x) = 7x + 17 Reorder the terms: -11 + 11x = 17 + 7x Solving -11 + 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. -11 + 11x + -7x = 17 + 7x + -7x Combine like terms: 11x + -7x = 4x -11 + 4x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + 4x = 17 + 0 -11 + 4x = 17 Add '11' to each side of the equation. -11 + 11 + 4x = 17 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 17 + 11 4x = 17 + 11 Combine like terms: 17 + 11 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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