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Simplifying 9(x + 5) + 7 = 11x + -2(x + -4) Reorder the terms: 9(5 + x) + 7 = 11x + -2(x + -4) (5 * 9 + x * 9) + 7 = 11x + -2(x + -4) (45 + 9x) + 7 = 11x + -2(x + -4) Reorder the terms: 45 + 7 + 9x = 11x + -2(x + -4) Combine like terms: 45 + 7 = 52 52 + 9x = 11x + -2(x + -4) Reorder the terms: 52 + 9x = 11x + -2(-4 + x) 52 + 9x = 11x + (-4 * -2 + x * -2) 52 + 9x = 11x + (8 + -2x) Reorder the terms: 52 + 9x = 8 + 11x + -2x Combine like terms: 11x + -2x = 9x 52 + 9x = 8 + 9x Add '-9x' to each side of the equation. 52 + 9x + -9x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 52 + 0 = 8 + 9x + -9x 52 = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 52 = 8 + 0 52 = 8 Solving 52 = 8 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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