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Simplifying 8(x + -6) + 7x = 5(3x + 2) + -9 Reorder the terms: 8(-6 + x) + 7x = 5(3x + 2) + -9 (-6 * 8 + x * 8) + 7x = 5(3x + 2) + -9 (-48 + 8x) + 7x = 5(3x + 2) + -9 Combine like terms: 8x + 7x = 15x -48 + 15x = 5(3x + 2) + -9 Reorder the terms: -48 + 15x = 5(2 + 3x) + -9 -48 + 15x = (2 * 5 + 3x * 5) + -9 -48 + 15x = (10 + 15x) + -9 Reorder the terms: -48 + 15x = 10 + -9 + 15x Combine like terms: 10 + -9 = 1 -48 + 15x = 1 + 15x Add '-15x' to each side of the equation. -48 + 15x + -15x = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 -48 + 0 = 1 + 15x + -15x -48 = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 -48 = 1 + 0 -48 = 1 Solving -48 = 1 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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