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Simplifying 7(x + 1) + 2 = -11(x + -8) + -4 Reorder the terms: 7(1 + x) + 2 = -11(x + -8) + -4 (1 * 7 + x * 7) + 2 = -11(x + -8) + -4 (7 + 7x) + 2 = -11(x + -8) + -4 Reorder the terms: 7 + 2 + 7x = -11(x + -8) + -4 Combine like terms: 7 + 2 = 9 9 + 7x = -11(x + -8) + -4 Reorder the terms: 9 + 7x = -11(-8 + x) + -4 9 + 7x = (-8 * -11 + x * -11) + -4 9 + 7x = (88 + -11x) + -4 Reorder the terms: 9 + 7x = 88 + -4 + -11x Combine like terms: 88 + -4 = 84 9 + 7x = 84 + -11x Solving 9 + 7x = 84 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 9 + 7x + 11x = 84 + -11x + 11x Combine like terms: 7x + 11x = 18x 9 + 18x = 84 + -11x + 11x Combine like terms: -11x + 11x = 0 9 + 18x = 84 + 0 9 + 18x = 84 Add '-9' to each side of the equation. 9 + -9 + 18x = 84 + -9 Combine like terms: 9 + -9 = 0 0 + 18x = 84 + -9 18x = 84 + -9 Combine like terms: 84 + -9 = 75 18x = 75 Divide each side by '18'. x = 4.166666667 Simplifying x = 4.166666667
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