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Simplifying 5(x + -5) + 7x = 4(3x + 3) + -8 Reorder the terms: 5(-5 + x) + 7x = 4(3x + 3) + -8 (-5 * 5 + x * 5) + 7x = 4(3x + 3) + -8 (-25 + 5x) + 7x = 4(3x + 3) + -8 Combine like terms: 5x + 7x = 12x -25 + 12x = 4(3x + 3) + -8 Reorder the terms: -25 + 12x = 4(3 + 3x) + -8 -25 + 12x = (3 * 4 + 3x * 4) + -8 -25 + 12x = (12 + 12x) + -8 Reorder the terms: -25 + 12x = 12 + -8 + 12x Combine like terms: 12 + -8 = 4 -25 + 12x = 4 + 12x Add '-12x' to each side of the equation. -25 + 12x + -12x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -25 + 0 = 4 + 12x + -12x -25 = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -25 = 4 + 0 -25 = 4 Solving -25 = 4 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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