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Simplifying 5(x + -6) = 4(x + -7) + x Reorder the terms: 5(-6 + x) = 4(x + -7) + x (-6 * 5 + x * 5) = 4(x + -7) + x (-30 + 5x) = 4(x + -7) + x Reorder the terms: -30 + 5x = 4(-7 + x) + x -30 + 5x = (-7 * 4 + x * 4) + x -30 + 5x = (-28 + 4x) + x Combine like terms: 4x + x = 5x -30 + 5x = -28 + 5x Add '-5x' to each side of the equation. -30 + 5x + -5x = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 0 = -28 + 5x + -5x -30 = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 = -28 + 0 -30 = -28 Solving -30 = -28 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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