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Simplifying 7(x + 2) + -5(x + -9) = 2(x + 11) Reorder the terms: 7(2 + x) + -5(x + -9) = 2(x + 11) (2 * 7 + x * 7) + -5(x + -9) = 2(x + 11) (14 + 7x) + -5(x + -9) = 2(x + 11) Reorder the terms: 14 + 7x + -5(-9 + x) = 2(x + 11) 14 + 7x + (-9 * -5 + x * -5) = 2(x + 11) 14 + 7x + (45 + -5x) = 2(x + 11) Reorder the terms: 14 + 45 + 7x + -5x = 2(x + 11) Combine like terms: 14 + 45 = 59 59 + 7x + -5x = 2(x + 11) Combine like terms: 7x + -5x = 2x 59 + 2x = 2(x + 11) Reorder the terms: 59 + 2x = 2(11 + x) 59 + 2x = (11 * 2 + x * 2) 59 + 2x = (22 + 2x) Add '-2x' to each side of the equation. 59 + 2x + -2x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 59 + 0 = 22 + 2x + -2x 59 = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 59 = 22 + 0 59 = 22 Solving 59 = 22 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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