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Simplifying 6(x + -5) + -48 = 6(x + -7) Reorder the terms: 6(-5 + x) + -48 = 6(x + -7) (-5 * 6 + x * 6) + -48 = 6(x + -7) (-30 + 6x) + -48 = 6(x + -7) Reorder the terms: -30 + -48 + 6x = 6(x + -7) Combine like terms: -30 + -48 = -78 -78 + 6x = 6(x + -7) Reorder the terms: -78 + 6x = 6(-7 + x) -78 + 6x = (-7 * 6 + x * 6) -78 + 6x = (-42 + 6x) Add '-6x' to each side of the equation. -78 + 6x + -6x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -78 + 0 = -42 + 6x + -6x -78 = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -78 = -42 + 0 -78 = -42 Solving -78 = -42 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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