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Simplifying -11(7 + x) + 9 = 1 + -6(x + -1) (7 * -11 + x * -11) + 9 = 1 + -6(x + -1) (-77 + -11x) + 9 = 1 + -6(x + -1) Reorder the terms: -77 + 9 + -11x = 1 + -6(x + -1) Combine like terms: -77 + 9 = -68 -68 + -11x = 1 + -6(x + -1) Reorder the terms: -68 + -11x = 1 + -6(-1 + x) -68 + -11x = 1 + (-1 * -6 + x * -6) -68 + -11x = 1 + (6 + -6x) Combine like terms: 1 + 6 = 7 -68 + -11x = 7 + -6x Solving -68 + -11x = 7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -68 + -11x + 6x = 7 + -6x + 6x Combine like terms: -11x + 6x = -5x -68 + -5x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 -68 + -5x = 7 + 0 -68 + -5x = 7 Add '68' to each side of the equation. -68 + 68 + -5x = 7 + 68 Combine like terms: -68 + 68 = 0 0 + -5x = 7 + 68 -5x = 7 + 68 Combine like terms: 7 + 68 = 75 -5x = 75 Divide each side by '-5'. x = -15 Simplifying x = -15
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