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Simplifying 5(x + -5) + 2(-4x + 8) = -3x + 13 Reorder the terms: 5(-5 + x) + 2(-4x + 8) = -3x + 13 (-5 * 5 + x * 5) + 2(-4x + 8) = -3x + 13 (-25 + 5x) + 2(-4x + 8) = -3x + 13 Reorder the terms: -25 + 5x + 2(8 + -4x) = -3x + 13 -25 + 5x + (8 * 2 + -4x * 2) = -3x + 13 -25 + 5x + (16 + -8x) = -3x + 13 Reorder the terms: -25 + 16 + 5x + -8x = -3x + 13 Combine like terms: -25 + 16 = -9 -9 + 5x + -8x = -3x + 13 Combine like terms: 5x + -8x = -3x -9 + -3x = -3x + 13 Reorder the terms: -9 + -3x = 13 + -3x Add '3x' to each side of the equation. -9 + -3x + 3x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 0 = 13 + -3x + 3x -9 = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 = 13 + 0 -9 = 13 Solving -9 = 13 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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