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Simplifying 8(x + 9) + 2 = -11(x + -7) + -10 Reorder the terms: 8(9 + x) + 2 = -11(x + -7) + -10 (9 * 8 + x * 8) + 2 = -11(x + -7) + -10 (72 + 8x) + 2 = -11(x + -7) + -10 Reorder the terms: 72 + 2 + 8x = -11(x + -7) + -10 Combine like terms: 72 + 2 = 74 74 + 8x = -11(x + -7) + -10 Reorder the terms: 74 + 8x = -11(-7 + x) + -10 74 + 8x = (-7 * -11 + x * -11) + -10 74 + 8x = (77 + -11x) + -10 Reorder the terms: 74 + 8x = 77 + -10 + -11x Combine like terms: 77 + -10 = 67 74 + 8x = 67 + -11x Solving 74 + 8x = 67 + -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. 74 + 8x + 11x = 67 + -11x + 11x Combine like terms: 8x + 11x = 19x 74 + 19x = 67 + -11x + 11x Combine like terms: -11x + 11x = 0 74 + 19x = 67 + 0 74 + 19x = 67 Add '-74' to each side of the equation. 74 + -74 + 19x = 67 + -74 Combine like terms: 74 + -74 = 0 0 + 19x = 67 + -74 19x = 67 + -74 Combine like terms: 67 + -74 = -7 19x = -7 Divide each side by '19'. x = -0.3684210526 Simplifying x = -0.3684210526
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