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Simplifying 5(x + 8) + -7(7x + -7) = 11 Reorder the terms: 5(8 + x) + -7(7x + -7) = 11 (8 * 5 + x * 5) + -7(7x + -7) = 11 (40 + 5x) + -7(7x + -7) = 11 Reorder the terms: 40 + 5x + -7(-7 + 7x) = 11 40 + 5x + (-7 * -7 + 7x * -7) = 11 40 + 5x + (49 + -49x) = 11 Reorder the terms: 40 + 49 + 5x + -49x = 11 Combine like terms: 40 + 49 = 89 89 + 5x + -49x = 11 Combine like terms: 5x + -49x = -44x 89 + -44x = 11 Solving 89 + -44x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + -44x = 11 + -89 Combine like terms: 89 + -89 = 0 0 + -44x = 11 + -89 -44x = 11 + -89 Combine like terms: 11 + -89 = -78 -44x = -78 Divide each side by '-44'. x = 1.772727273 Simplifying x = 1.772727273
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