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Simplifying 2(x + 4) + -5(5x + -9) = -23x + 7 Reorder the terms: 2(4 + x) + -5(5x + -9) = -23x + 7 (4 * 2 + x * 2) + -5(5x + -9) = -23x + 7 (8 + 2x) + -5(5x + -9) = -23x + 7 Reorder the terms: 8 + 2x + -5(-9 + 5x) = -23x + 7 8 + 2x + (-9 * -5 + 5x * -5) = -23x + 7 8 + 2x + (45 + -25x) = -23x + 7 Reorder the terms: 8 + 45 + 2x + -25x = -23x + 7 Combine like terms: 8 + 45 = 53 53 + 2x + -25x = -23x + 7 Combine like terms: 2x + -25x = -23x 53 + -23x = -23x + 7 Reorder the terms: 53 + -23x = 7 + -23x Add '23x' to each side of the equation. 53 + -23x + 23x = 7 + -23x + 23x Combine like terms: -23x + 23x = 0 53 + 0 = 7 + -23x + 23x 53 = 7 + -23x + 23x Combine like terms: -23x + 23x = 0 53 = 7 + 0 53 = 7 Solving 53 = 7 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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